MHT CET 2022 Mathematics question

The line drawn from (4, -1, 2) and (-3, 2, 3) meets the plane at right angles at the point (-10, 5, 4), then the equation of plane is

(A)2x – y – z + 29 = 0
(B)7x – 3y – z + 89 = 0Correct
(C)x – y + z + 11 = 0
(D)x + y + z + 1 = 0

Answer: (B)

Solution

The line passes through and , so its direction is . Since this line meets the plane at right angles, (or ) is the normal to the plane. The plane passes through : , i.e. , i.e.

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Question ID VK-094352