MHT CET 2022 Mathematics question

The equation of the plane through the intersection of the planes x + y + z = 1 and 2x + 3y – z + 4 = 0 and parallel to X –axis is

(A)y + 3z + 6 = 0
(B)3y – z + 6 = 0
(C)y – 3z + 6 = 0Correct
(D)3y – 2z + 6 = 0

Answer: (C)

Solution

A plane through the intersection of the given planes is , i.e. . It is parallel to the X-axis (direction ) when its normal is perpendicular to , i.e. the coefficient of is

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Question ID VK-094053