The distance of the point A (3, -4, 5) from the plane 2x + 5y - 6z = 16 measured along the line x 2 = y 1 = z -2 is

MHT CET 2025 Mathematics question

The distance of the point A (3, -4, 5) from the plane measured along the line is

(A) unitsCorrect
(B) units
(C) units
(D) units

Answer: (A)

Solution

The given line has direction ratios , of magnitude . The line through parallel to it is . It meets the plane when , i.e. $6+4t-20+5t-30+12t=16⇒21t-44=16⇒

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Question ID VK-103046