The line x-2 3 = y-1 -5 = z+2 2 lies in the plane x+3y- z+ =0, then the value of ^2+ + ^2 is

MHT CET 2023 Mathematics question

The line lies in the plane , then the value of is

(A)127
(B)43Correct
(C)109
(D)61

Answer: (B)

Solution

A line lies in a plane if (i) it is perpendicular to the plane's normal and (ii) one of its points satisfies the plane. Direction of line , normal . (i) . (ii) Point on the

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Question ID VK-095366