Question

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Find the centre and radius of the following circles :
(a) x²+y²+ 6x – 4y - 12 = 0

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Answer 1

Step-by-step explanation:

We know that from the standard equation of the circle,one can find centre and radius of the circle

center (-g,-f) and radius

So,in the given equation

We also know that slope of parallel lines are equal and tangent touches the circle and make 90° angle with radius of the circle.

Hence equation of tangent would be

and perpendicular distance from center will equal to the radius of circle,so

apply the distance formula between a line and a point

Hence equation of tangent is

Hope it helps you.

Answer 2

Answer:

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