The value of m, such that x-4 1 = y-2 1 = 2z-m 3 lies in the plane 2x-5y+2z=7, is

MHT CET 2024 Mathematics question

The value of m, such that lies in the plane , is

(A)8
(B)10
(C)9Correct
(D)7

Answer: (C)

Solution

Write the third ratio as . The line passes through with direction ratios . A line lies in a plane if (i) it is parallel to the plane: (true for every ), and

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Question ID VK-093140