MHT CET 2024 Mathematics question

The equation of the plane, passing through the mid point of the line segment of join of the points P (1,2,3) and Q (3,4,3) and perpendicular to it, is

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

Answer: (C)

Solution

The required plane passes through the midpoint of and has normal vector . With the printed data, and , which gives the plane , i.e. ; this has no term and so does not match any option, showing the item is misprinted. For

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Question ID VK-092676