Circle-And-System-Of-Circles Question 379

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:

1

2

4

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{6}{2\sqrt{25+144}}=\frac{6}{26} $ .



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