Circle And System Of Circles Question 354

The point of contact of the tangent to the circle $ x^{2}+y^{2}=5 $ at the point (1, -2) which touches the circle $ x^{2}+y^{2}-8x+6y+20=0 $ , is

[Roorkee 1989]

Options:

A) (2, -1)

B) (3, -1)

C) (4, -1)

D) (5, -1)

Show Answer

Answer:

Correct Answer: B

Solution:

Equation of the tangent at $ (1,\ -2) $ to the circle $ x^{2}+y^2=1 $ is $ x-2y=-5 $ . Now choose answers. Here, only point (3, -1) lies on the tangent.



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