Circle And System Of Circles Question 180

Question: Equations to the circles which touch the lines $ 3x-4y+1=0 $ , $ 4x+3y-7=0 $ and pass through (2, 3) are

[EAMCET 1989]

Options:

A) $ {{(x-2)}^{2}}+{{(y-8)}^{2}}=25 $

B) $ 5x^{2}+5y^{2}-12x-24y+31=0 $

C) Both (a) and (b)

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Trick: Since both the circles given in option (a) and (b) satisfy the given conditions.