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

MHT CET 2022 Mathematics question

The value of k such that lies in the plane is

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

Answer: (C)

Solution

The line has direction ratios and passes through . For the line to lie in the plane, two conditions are needed. (i) The line is parallel to the plane: , which holds for every k. (ii) The point

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Question ID VK-094346