If the line x+1 3 = y-k 7 = z-4 8 lies in the plane 2x+py+7z-41=0 which is perpendicular to the plane x+4y-2z+13=0 then k =

MHT CET 2025 Mathematics question

If the line lies in the plane which is perpendicular to the plane then k =

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

Answer: (A)

Solution

The normals of the two planes are and . The planes are perpendicular, so . The line passes through , which must lie on the plane : . This value is not among the options, and the

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Question ID VK-101252