Q. The equation of the tangents to the circle $x^{2} + y^{2} = 13$ at the points whose abscissa is 2, are
A) $2x + 3y = 13,\ 2x - 3y = 13$
B) $3x + 2y = 13,\ 2x - 3y = 13$
C) $2x + 3y = 13,\ 3x - 2y = 13$
D) None of the above
Explanation
(a)
Let the point be $(2,\ y_{1})$, then
$2^{2} + y_{1}^{2} = 13$
$\Rightarrow \ \ \ y_{1} = \pm 3$
Hence, the required tangents are $2x \pm 3y = 13$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.