Let the line x-2 3 = y-1 -5 = z+2 2 lie in the plane x+3y- z+ =0, then the value of ( - ) is equal to

MHT CET 2025 Mathematics question

Let the line lie in the plane , then the value of is equal to

(A)1
(B)13Correct
(C)7
(D)-6

Answer: (B)

Solution

The line passes through with direction ratios ; the plane has normal . If the line lies in the plane, the direction is perpendicular to the normal: . The point

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Question ID VK-102287