If the line x - 3 2 = y + 5 -1 = z + 2 2 lies in the plane x + 3y - z + = 0, then values of and respectively are .....

MHT CET 2025 Mathematics question

If the line lies in the plane , then values of and respectively are .....

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

A line lies in a plane if (i) its direction is perpendicular to the plane's normal and (ii) a point of the line lies on the plane. Direction , normal : . The point lies on the plane:

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Question ID VK-102729