# Identify Critical Points

### Topic Page

Identify Critical Points### Questions

- How do I find the points on the ellipse #4x^2 + y^2 = 4# that are furthest from #(1, 0)#?
- What are the foci of an ellipse?
- What are the vertices of #9x^2 + 16y^2 = 144#?
- What are the vertices of the graph given by the equation #(x+6)^2/4 = 1#?
- What are the vertices and foci of the ellipse #9x^2-18x+4y^2=27#?
- What are the foci of the ellipse #x^2/49+y^2/64=1#?
- How do I find the foci of an ellipse if its equation is #x^2/16+y^2/36=1#?
- How do I find the foci of an ellipse if its equation is #x^2/16+y^2/9=1#?
- How do I find the foci of an ellipse if its equation is #x^2/36+y^2/64=1#?
- How do you find the critical points for #(9x^2)/25 + (4y^2)/25 = 1#?
- If an ellipse has foci (0, +-1) and vertices (0, +-2) What is the eccentricity of the ellipse?
- How do you find the foci for #4x^2 + 20y^2 = 80#?
- How do you find an equation for the ellipse with vertices at (-6,4) and (10,4); focus at (8,4)?
- How do you find the critical points for #(x^2)/36 + (y^2)/16 =1#?
- How do you solve the standard form of an ellipse given Foci: (0, -3) , (0, 3) Vertices: (0, -4), (0, 4)?
- How do you find the a, b, c for #(x + 3)^2/9 + (y – 9)^2/25 =1#?
- How do you find the center and radius for #X^2 + Y^2 = 13#?
- How do you identify the foci of this ellipse #25x^2 + 200x + 9y^2 + 54y = -480#?
- How do you find the center, vertices, foci and eccentricity of #4x² + 9y² - 8x - 36y + 4 = 0#?
- How do you find the center, vertices, foci and eccentricity of #25x² + 9y² - 50x - 90y + 25 = 0#?
- How do you find the center, vertices, foci and eccentricity of #x^2 + 20x + 4y^2 - 40y + 100 = 0#?
- How do you find the center, vertices, foci and eccentricity of #x^2+4y^2+4x+32y+67=0#?
- How do you find the center, vertices, foci and eccentricity of #9x^2+4y^2-36x+8y+31=0#?
- How do you find the center, vertices, foci and eccentricity of #3x^2+4y^2-6x+16y+7=0#?
- How do you find the center, vertices, foci and eccentricity of #(X^2/25)+(y^2/64)=1#?
- How do you find the center, vertices, foci and eccentricity of #9x^2 + 25y^2 = 225#?
- How do you find the center, vertices, foci and eccentricity of #x^2/36+y^2/64=1#?
- How do you find the center, vertices, foci and eccentricity of #x^2/4+y^2/9=1#?
- How do you find the vertex, the directrix, the focus and eccentricity of: #(9x^2)/25 + (4y^2)/25 = 1#?
- How do you find the foci, center, vertex for #4x^2+9y^2-16x+18y-11=0#?
- How do you find the foci, center, vertex for #(1/16)(x + 2)^2 + (1/9)(y - 5)^2 = 1#?
- How do you find the center (h,k) and radius r of the circle with the given equation #x^2+(y-3)^2=16#?
- How do you find the center (h,k) and radius r of the circle with the given equation #2(x-2)^2+2(y+5)^2=28#?
- How do you find the center (h,k) and radius r of the circle with the given equation #x^2+y^2-18x+18y=-137#?
- How do you find the center and radius of the circle given by the equation #x^2+y^2-8 x- 6 y +21=0#?
- How do you find the center and radius of the circle with this equation: #(x+6)^2 + (y-4)^2 = 36#?
- How do you find the center and radius of the circle #x^2 −2x + y^2 − 6y = 26#?
- How do you find the center and the radius of the circle whose equation is #x^2+y^2-4x-2y-4=0#?
- How do you find the center and the length of the radius of #x^2 + y^2 = 121#?
- How do you find the center and the length of the radius of #x^2 + (y+6)^2 = 16/25#?
- What is the center of the circle with equation #(x + 1)^2 + (y + 3)^2 = 9/4#?
- How do you find the radius of the circle: #x^2 + y^2 + 12x - 2y + 21 = 0#?
- How do you find the center and radius of the circle: #(x - 6)^2 + y^2 = 49#?
- How do you find the center and radius of the circle with this equation #(x-2)^2 + (y+4)^2 = 9#?
- How do you find the center and radius of the circle with this equation #x^2 + y^2 – 8x – 20y + 80 = 0#?
- How do you find the center and radius of the circle with equation #(x - 2)^2 + (y + 5)^2 = 64#?
- How do you find the center and radius of the circle with equation #x^2 + y^2 + 10x +8y = 8#?
- How do you find the center and radius of the circle with the given equation #x^2 + y^2 +4x - 8y - 44 = 0#?
- How would you find the center and radius of #x^2 + y^2 - 6x=0#?
- How would you find the center and radius of #x^2 + y^2 + 12x - 6y = 0#?
- A circle is described by the equation #(x−12)^2+(y−32)^2=49#. What are the coordinates for the center of the circle and the length of the radius?
- The equation of a circle is #x^2+y^2-4x+10y = -20#, what are the co-ordinates of the center and the length of the radius of the circle?
- The equation of a circle is #x²+y²+2x-4y-8=0#, what are the co-ordinates of the center and the length of the radius of the circle?
- Given #(x+10)^2+(y-3)^2=121# what is the radius of this circle?
- How do you find the radius of a circle with the equation #x^2 + y^2 - 6x - 12y + 36 = 0#?
- How do you find the radius of a circle with the equation #x^2 - 8x + y^2 - 4y – 5 = 0#?
- How do you find the radius of a circle with the equation #x^2 + y^2 + 4x - 8y + 13 = 0#?
- How do you find the radius and center of a circle with the equation #( x - 1) ^2 + (y - 3) ^2 =16#?
- How do you find the radius and center of a circle with the equation #5x^2+5y^2+60x+40y+215=0#?
- What is the center of the circle with equation #(x + 1)^2 + (y + 3)^2 = 9/4#?
- What is the center and radius of the circle with equation #x^2 + y^2 - 2x + 14y + 42 = 0#?
- What is the center and radius of the circle with equation #36x^2 - 36x + 36y^2 - 24y = 131#?
- What is the equation of the circle in graphing form? The center of a circle is at (-2, -7) and its radius is 36?
- A homeowner plots her house and yard on a computer. She determines that the circle that defines the part of the front yard that gets watered by the sprinkler is (x - 9)^2 + (y + 11)^2 = 16. What is the diameter of the circular area that gets wet?
- The center of a circle is at (-2, -7) and its radius is 36. What is the equation of the circle in graphing form?
- How do you graph #x^2 + (y + 3)^2 = 9#?
- The equation of a circle is #(x + 10)^2 + (y - 4)^2 = 100#. What is the center and radius of the circle?
- The center of a circle is at (7, -3) and it has a radius of 9. What is the equation of the circle?
- How do you find the center of a circle, given the equation #x^2+y^2+6x-4y+3=0#?
- How to find the center of a circle given the three points (-3,5); (3,3); (11,19)?
- How to find the center and radius of #x^2+y^2-6x-10y=-9#?
- How to find the center and radius of #x^2 +(y+2)^2=72#?
- How to find the center and radius of #2x^2 + 2y^2 -8x +12y +8=0#?
- How to find the center and radius of #(x+4)^2+y^2=49#?
- How do you find the area of circle # x^2 + y^2 = 25#?
- How do you find the area of circle #x^2 + y^2 = 5,625#?
- How do you find the area of circle #(x - 4)^2 + (y - 2)^2 = 9#?
- How do you find the area of a regular octagon inscribed in a circle whose equation is given by (x-2)² + (y+3)² = 25?
- How do you find the area #(x+3)^2 + (y-2)^2 = 25#?
- How do you find the area #(x - 2 )² + (y + 4 )² = 9#?
- How do you find the circumference and area of the circle whose equation is #x^2+y^2=36#?
- How do you write the equation of the line that contains the centers of the circles #(x – 2)^2 + (y + 3)^2 = 17# and# (x – 5)^2 + y^2 = 32#?
- Given the circle #(x – 6)^2 + (y + 2)^2 = 9#, how do you determine if the line with an equation of x = 9 is a tangent to the circle, a secant to the circle, or neither?
- How do you find the center and radius of the circle # x^2+y^2=4 #?
- How do you find the center and radius of the circle #x^2+y^2+8x+4y+16=0#?
- How do you find the center and radius of the circle #x^2+y^2-4x+8y-5=0 #?
- How do you find the center and radius of the circle #2(x-3)²+2y²=8#?
- How do you find the center and radius of the circle #x^2 + y^2 - 4x - 14y + 29 = 0#?
- How do you find the center and radius of the circle # 7(x + 2)^2 + 2(y -2)^2 = 49#?
- How do you find the center and radius of the circle #x^2 + y^2 - 10x - 8y - 8 = 0#?
- How do you find the center and radius of the circle #( x - 3 )^ 2 + y^2 = 4#?
- How do you find the center and radius of the circle #-2x^2 - 2y^2 + 24x - 54 = 0#?
- How do you find the center and radius of the circle # (x+9)^2 + (y-5)^2 = 64#?
- How do you find the center and radius of the circle #x^2+y^2+4x-8y+4=0#?
- How do you find the center and radius of the circle #x^2 + y^2 - 2x + 6y + 3 = 0#?
- How do you find the center and radius of the circle #(x-2)^2 + (y-5)^2=100#?
- How do you find the center and radius of the circle # x^2-2x+y^2-8y+1=0#?
- How do you find the center and radius of the circle #x^2+y^2+8x+15=0#?
- How do you find the center and radius of the circle #x^2 + y^2 – 2x -3 = 0#?
- How do you find the center and radius of the circle #x^2+y^2-10x-2y+50=49#?
- How do you find the center and radius of the circle #(x-4)^2 + (y)^2 = 25#?
- How do you find the center and radius of the circle #2x²+2y²-5x+y=0#?
- How do you find the center and radius of the circle #x^2 + y^2 − 10x + 8y + 32 = 0#?
- How do you find the center and radius of the circle #(x-2)^2+(y+1)^2=2#?
- How do you find the center and radius of the circle #x^2 + y^2 - 8y = 9#?
- How do you find the center and radius of the circle #x^2+y^2+6x-8y-135=0#?
- How do you find the center and radius of the circle #x^2+y^2-2x+6y-26=0#?
- How do you find the center and radius of the circle #9x^2 + 54x + 9y^2 − 6y + 55 = 0#?
- How do you find the center and radius of the circle #x^2 + y^2 - 4x - 14y + 29 = 0#?
- How do you find the center and radius of the circle #x^2 + y^2 - 6x + 8y = 0#?
- How do you find the center and radius of the circle #x^2 + y^2 -4x+12y-36 = 0#?
- How do you find the center and radius of the circle #x^2 + y^2 + 4x - 4y - 1 = 0#?
- How do you find the center and radius of the circle #x^2 + y^2 – 8x – 6y – 75 = 0#?
- How do you find the center and radius of the circle #(x-5) ^2 + (y+3) ^2 = 16#?
- How do you find the center and radius of the circle #(3x-1)^2 + (3y+3)^2 = -1#?
- How do you find the center and radius of the circle #x^2 + y^2 - 12x - 8y + 48 = 0#?
- How do you find the center and radius of the circle #x^2-6x+60+y^2-20y=0#?
- How do you find the center and radius of the circle #9x^2+9y^2+6y-107=0#?
- How do you find the center and radius of the circle #X^2-8x+16+y^2+10y+25=81#?
- How do you find the center and radius of the circle #x^2+5x+y^2-6y=3#?
- How do you find the center and radius of the circle #6x^2 + 6y^2 + 12x − y = 0#?
- How do you find the center and radius of the circle #(x+4)^2+y^2=49#?
- How do you find the center and radius of the circle #4x^2 - 16x + 4y^2 - 24y + 36 = 0#?
- How do you find the center and radius of the circle #x^2-12x+y^2+4y+15=0#?
- How do you find the center and radius of the circle #x^2-8x+y^2-12y= -51#?
- How do you find the equation of the circle with a diameter that has endpoints (-8,0) and (4,-8)?
- The line #y=-7x-4# cuts the circle at #(-1,3)# and one other point, #R#. How do you find the co-ordinates of #R# where the equation of the circle to be #(x-2)^2 + (y-7)^2 = 25#?
- Given the centre (0,0) and a tangent that has the equation 3x-4y=30, what is the equation of the circle?
- How do you write an equation of the circle that passes through (4,2) with center (0,1)?
- The equation #3x^2 +2y^2 +2x -5y -6 = 0# does not represent a circle. How can you tell this by looking at the equation?
- How do you find the equation of the circle centered at (h,k) = (-4,-2) and passing through the point (-1,2)?
- How do you find the equation of the circle with center (1,2) and radius 3?
- How do you find the equation for the circle where two points (-2, 4) and (1, 3) lie on a circle?
- How do you find the equation for the circle centered at (4, 4); passing through (7, 14)?
- How do you find the equation for the circle if the equation of two diameters are 2x+y=6 and 3x+2y=4 and radius is 9?
- How do you find the equation for the circle where A(7,-6),B(9,2) and C(1,4) are points on a circle?
- How do you find the equation for the circle centered at (0,0) that passes through the point (1,-6)?
- How do you find the equation for the circle tangent of y-axis, center (-8,-7)?
- How do you find the equation for the circle radius 4 are tangent to the graph of #y^2=4x# at #(1,2)#?
- How do you find the equation for the circle with endpoints at (-3,-4) and (5,0)?
- How do you find the equation for the of the top half of a circle with radius 3?
- How do you find the equation given points A(-4,3) and B(5,-1) are the endpoints of a diameter in circle?
- How do you find the equation given center passes through the origin and has its center at (0,4)?
- How do you find the equation of a circle whose centre lies on the line 2x+y-1=0 and which passes through the point A(-2,0) AND B(5,1)?
- How do you find the equation of a circle whose diameter endpoints of (5,8) and (5,-4)?
- How do you find the equation of a circle whose center of this circle is on the line 2x-5y=9 and it is tangent to both the x and y axis?
- How do you find the equation of a circle center at the origin; passes through (10, 10)?
- How do you find the equation of a circle that passes through the following points: (5,3) (-2,2) (-1,-5)?
- How do you find the equation of a circle with centre (5,4) and just touches the x-axis?
- How do you find the equation of a circle whose diameter has endpoint (8,0) and (0,6)?
- How do you find the equation of a circle passing through (2,3), (3,4) and (-1,2)?
- How do you find the equation of a circle with center at the origin and passing through (-6,-2)?
- How do you find the equation of a circle that passes through points (-8,-2)(1-,-11) and (-5,9)?
- How do you find the equation of a circle center of (5,-2) and a radius of 2?
- How do you find the equation of a circle radius 3 units and its center lies on the line y=x-1?
- How do you find the equation of a circle passes through the points (2,0) and (8,0) and has the y-axis as a tangent?
- How do you find the equation of a circle passes through point (-3,6) & touch the two axis?
- How do you find the equation of a circle that touch the x axis and passes through (1,1) and has its centre on the line x + y = 3?
- How do you find the equation of a circle passing through the points of intersection of the line x+y=4 and the circle x^2+y^2=16 and the point (10,2)?
- How do you find the equation of a circle with points (1, 2) and (–1, –2) as endpoints of a diameter?
- How do you write the equation of the line that is tangent to the circle #(x + 6)^2 + (y + 4)^2 = 25# at the point (-9, -8)?
- How do you find the equation of a circle with center on the line x + 2y= 4 passes through the points A(6,9) and B(12,-9)?
- How do you find the equation of a circle with diameter has endpoints (-2, 3) and (4, -1)?
- How do you find the equation of a circle passes through the origin and has its center at (-1,-9)?
- How do you find the equation of a circle center is at #(-2, 3)# and that is tangent to the line #20x - 21y - 42 = 0#?
- How do you find the equation of a circle center is at (0, 0) and that is tangent to the line x + y = 8?
- How do you find the equation of a circle that passes through the points (1, 1), (1, 5), and (5, 5)?
- How do you write an equation of a circle whose diameter has endpoints (-2, 3) and (4, -1)?
- How do you write an equation of a circle that passes through the points (3,6), (-1,-2), and (6,5)?
- How do you write an equation of a circle whose diameter of the circle are (-2,6) and (-8,10)?
- How do you write an equation of a circle with radius of 9 and the center at (-4, 2)?
- How do you write an equation of a circle with endpoints of the diameter at (4, -3) and (-2, 5)?
- How do you write an equation of a circle with center (3, -2) and radius 7?
- Question #eef57
- What are co-vertices in r/o an ellipse?
- How do you find the center and radius of the circle given #(x-4)^2+(y-1)^2=9#?
- How do you find the center and radius of the circle given #x^2+(y-14)^2=34#?
- How do you find the center and radius of the circle given #(x-4)^2+y^2=16/25#?
- How do you find the center and radius of the circle given #x^2+y^2+8x-6y=0#?
- How do you find the center and radius of the circle given #x^2+y^2+4x-8=0#?
- How do you find the coordinates of the center, foci, lengths of the major and minor axes given #y^2/18+x^2/9=1#?
- How do you find the coordinates of the center, foci, lengths of the major and minor axes given #(x-1)^2/20+(y+2)^2/4=1#?
- How do you find the coordinates of the center, foci, lengths of the major and minor axes given #4x^2+8y^2=32#?
- How do you find the coordinates of the center, foci, lengths of the major and minor axes given #x^2+25y^2-8x+100y+91=0#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #y^2/10+x^2/5=1#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #x^2/25+y^2/9=1#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #(x+8)^2/144+(y-2)^2/81=1#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #(x+11)^2/144+(y-5)^2/121=1#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #3x^2+9y^2=27#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #27x^2+9y^2=81#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #16x^2+9y^2=144#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #36x^2+81y^2=2916#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #3x^2+y^2+18x-2y+4=0#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #x^2+5y^2+4x-70y+209=0#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #7x^2+3y^2-28x-12y=-19#?
- How do you find the coordinates of the center, foci, the length of the major and minor axis given #16x^2+25y^2+32x-150y=159#?
- A circle whose center is at (1,-3) passes through (7, 5). What is the length of the radius of the circle?
- How do you find the foci and sketch the ellipse #x^2+1/4y^2=1#?
- How do you find the foci and sketch the ellipse #1/4x^2+4y^2=1#?
- How do you find the foci and sketch the ellipse #9x^2+4y^2=16#?
- How do you find the foci and sketch the ellipse #x^2+9y^2=4#?
- How do you find the center and vertices of the ellipse #x^2/25+y^2/16=1#?
- How do you find the center and vertices of the ellipse #x^2/(25/9)+y^2/(16/9)=1#?
- How do you find the center and vertices of the ellipse #x^2/4+y^2/(1/4)=1#?
- How do you find the center and vertices of the ellipse #x^2/9+y^2/5=1#?
- How do you find the center and vertices of the ellipse #4x^2+y^2=1#?
- How do you find the center and vertices of the ellipse #4x^2+9y^2=36#?
- How do you find the equation of an ellipse with vertices #(+-5,0)# and foci #(+-2,0)#?
- How do you find the equation of an ellipse with vertices #(0,+-8)# and foci #(0, +-4)#?
- How do you find the equation of an ellipse with foci #(+-5,0)# and major axis of length 12?
- How do you find the equation of an ellipse with foci #(+-2,0)# and major axis of length 8?
- How do you find the equation of an ellipse with vertices #(0,+-5)# and passes through the point (4,2)?
- How do you find the equation of an ellipse with major axis vertical and passes through points (0,4) and (2,0)?
- How do you write the equation of the circle in standard form, identify the center and radius of #x^2+y^2-2x+6y+9=0#?
- How do you write the equation of the circle in standard form, identify the center and radius of #x^2+y^2-10x-6y+25=0#?
- How do you write the equation of the circle in standard form, identify the center and radius of #4x^2+4y^2+12x-24y+41=0#?
- How do you write the equation of the circle in standard form, identify the center and radius of #9x^2+9y^2+54x-36y+17=0#?
- How do you find the center, foci and vertices of #(x-6)^2/4+(y+7)^2/16=1#?
- How do you find the center, foci and vertices of #(x-3)^2/(25/9)+(y-8)^2=1#?
- How do you find the center, foci and vertices of #9x^2+4y^2+36x-24y+36=0#?
- How do you find the center, foci and vertices of #9x^2+4y^2-36x+8y+31=0#?
- How do you find the center, foci and vertices of #16x^2+25y^2-32x+50y+16=0#?
- How do you find the center, foci and vertices of #9x^2+25y^2-36x-50y+61=0#?
- How do you write an equation of a ellipse with vertices (0,2), (4,2) and minor axis of length 2?
- What are the center and radius of the circle defined by the equation #x^2+y^2-6x+8y+21=0#?
- How do you identify the center and radius of the circle #x^2+y^2=49#?
- How do you identify the center and radius of the circle #x^2+y^2=1#?
- How do you identify the center and radius of the circle #(x+3)^2+(y-8)^2=16#?
- How do you identify the center and radius of the circle #(x+9)^2+(y+1)^2=36#?
- How do you identify the center and radius of the circle #(x-1)^2+y^2=10#?
- How do you identify the center and radius of the circle #x^2+(y+12)^2=24#?