Given the centre (0,0) and a tangent that has the equation 3x-4y=30, what is the equation of the circle?
2 Answers
Explanation:
Length of a perpendicular from a point
Hence length of perpendicular from
But this is radius of the circle. Hence, equation of circle will be
Reqd. eqn. of the circle is
Explanation:
To determine the eqn. of a circle, we need its (i) centre, and, (ii) the
radius. As the centre is given to be the Origin
suppose that the radius of the circle is
Now the line
Geometry , we know that the **
Centre
Now, the eqn. of a circle having centre at
given by,
eqn. is
Note : The
is