If a circle with centre at (-1, 1) touches the line x + 2y + 4 = 0 then the co-ordinates of the point of contact are

MHT CET 2025 Mathematics question

If a circle with centre at touches the line then the co-ordinates of the point of contact are

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

The point of contact is the foot of the perpendicular from the centre to the tangent line . Value of the line at the centre: , and . Foot . Check: , so the point lies on the line, and

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Question ID VK-102705