MHT CET 2024 Mathematics question

Equation of the plane, through the points (-1, 2, -2) and (-1, 3, 2) and perpendicular to yz - plane, is

(1)4y + z = 10
(2)4y - z + 10 = 0
(3)4y - z = 10Correct
(4)4y + z + 10 = 0

Answer: (3)

Solution

A plane perpendicular to the -plane (normal ) has a normal vector perpendicular to , so its equation has no term: . Substitute the two points: and . Subtract: . Then

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Question ID VK-095673