Q51 / 150 · MHT CET 2008 · Mathematics

The equations of the tangents to the circle $x^{2}+y^{2}=13$ at the points whose abscissa is 2 , are

Correct answer
A
$2 x+3 y=13,2 x-3 y=13$
B
$3 x+2 y=13,2 x-3 y=13$
C
$2 x+3 y=13,3 x-2 y=13$
D
None of the above

Solution

Let the point be $\left(2, y_{1}\right)$, then $$ \begin{aligned} & 2^{2}+y_{1}^{2} &=13 \\ \Rightarrow & & y_{1} &=\pm 3 \end{aligned} $$ Hence, the required tangents are $2 x \pm 3 y=13$

Hence, the correct answer is option: 'A'.

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