Question

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

• A. $( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 25$
• B. $5 x ^ { 2 } + 5 y ^ { 2 } - 12 x - 24 y + 31 = 0$
• C. Both (1) and (2)
• D. None of these

Answer 1

Answer: (C)

Both (1) and (2)

Answer 2

Trick : Since both the circles given in option (1) and (2) satisfy the given conditions.