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

Answer: (B)

Solution

A line lies in a plane if (i) its direction is perpendicular to the plane's normal and (ii) one point of the line satisfies the plane. Direction ratios and normal : ✓, so the line is parallel to the plane for every . A point on the

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Question ID VK-094925