The equation of the plane containing the line x+1 2= y+2 1= z-2 3 and the point (1,-1, 3) is

MHT CET 2025 Mathematics question

The equation of the plane containing the line and the point (1,-1, 3) is

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

Answer: (B)

Solution

The line passes through with direction . The vector from to the given point is . The plane contains both and , so its normal is $ n= d×=(2,1,3)×(2,1,1)=(1·1-3·1,\

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Question ID VK-102604