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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