Gujarati
10-1.Circle and System of Circles
medium

The equations 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 these

Solution

(a) Let the point be $(2,y’)$, then

${2^2} + y{'^2} = 13 $

$\Rightarrow y' = \pm 3$

Hence the required tangents are $2x \pm 3y = 13$.

Standard 11
Mathematics

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