Binomial Theorem

Question
CBSEENMA11015489

The circle passing through (1,-2) and touching the axis of x at (3,0) also passes through the point

  • (-5,2)

  • (2,-5)

  • (5,-2)

  • (-2,5)

Solution

C.

(5,-2)

(x − 3)2+ y2+ λy = 0
The circle passes through (1, − 2)
⇒ 4 + 4 − 2λ = 0 ⇒ λ = 4
(x − 3)2+ y2+ 4y = 0
⇒ Clearly (5, − 2) satisfies.

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