If the line y - mx - c be a tangent to the circle x 2- y 2- a 2- then the point of contact isA- -a2-c- a2B- -a2 m-c- a2-cC- a2-c- -a2 m-cD- -a2 c-m- a2-m

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Chord of Contact

If the line y...

Question

If the line y = mx + c be a tangent to the circle $x^{2} + y^{2} = a^{2}$ , then the point of contact is

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Solution

The correct option is C

Find points of intersection by simultaneously solving for x and y from y = mx + c and $x^{2} + y^{2} = a^{2}$ which comes out as $⟮ - \frac{a^{2} m}{c}, \frac{a^{2}}{c} ⟯$

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If the line y = mx + c be a tangent to the circle x2+y2=a2, then the point of contact is

The correct option is C Find points of intersection by simultaneously solving for x and y from y = mx + c and x2+y2=a2 which comes out as ⟮−a2mc,a2c⟯

If the line y = mx + c be a tangent to the circle $x^{2} + y^{2} = a^{2}$ , then the point of contact is

The correct option is C

Find points of intersection by simultaneously solving for x and y from y = mx + c and $x^{2} + y^{2} = a^{2}$ which comes out as $⟮ - \frac{a^{2} m}{c}, \frac{a^{2}}{c} ⟯$