Circle And System Of Circles Question 62

Question: The area of the triangle formed by the tangent at (3, 4) to the circle $ x^{2}+y^{2}=25 $ and the co-ordinate axes is

[Pb. CET 2004]

Options:

A) 1

B) 2

C) 4

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

Given tangents are $ 5x-12y+10=0,, $

$ 5x-12y-16=0 $ Radius $ =\frac{c_1-c_2}{2\sqrt{a^{2}+b^{2}}}=\frac{26}{2.13}=1 $ .