Circle And System Of Circles Question 337

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

Options:

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

Show Answer

Answer:

Correct Answer: A

Solution:

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 $ .