Circle And System Of Circles Question 371

Question: If the centre of a circle is (-6, 8) and it passes through the origin, then equation to its tangent at the origin, is

[MNR 1976]

Options:

A) $ 2y=x $

B) $ 4y=3x $

C) $ 3y=4x $

D) $ 3x+4y=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

Centre (-6, 8), radius $ =\sqrt{6^{2}+8^{2}}=10 $ Equation of circle $ x^{2}+y^{2}+12x-16y=0 $ Equation of tangent at (0, 0) is $ 3x-4y=0 $ .