Constructing a Line Tangent to a Circle

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Questions

• Question #6cb9f
• If two circles intersect at n points, then which of the following is true ? a) #n^2##<=#9, b) #n^3##<=#17, c) 2n + 3 #<=#4, d) n - 3 = 1
• The tangent and the normal to the conic #x^2/a^2+y^2/b^2=1# at a point #(acostheta, bsintheta)# meet the major axis in the points #P# and #P'#, where #PP'=a# Show that #e^2cos^2theta + costheta -1 = 0#, where #e# is the eccentricity of the conic?
• Find the equation of normal and tangent to the circle #x^2+y^2=4# at the point #(2cos45^@,2sin45^@)#?
• How do we find equation of tangent and normal to a circle at a given point?