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

MHT CET 2024 Mathematics question

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

(A)7Correct
(B)-7
(C)no real value
(D)4

Answer: (A)

Solution

A line lies in a plane if (i) it is parallel to the plane and (ii) one of its points lies on the plane. Direction ratios and plane normal : , so the line is parallel to the plane for every . Now the point

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Question ID VK-095083