MHT CET 2025 Mathematics question

The Cartesian equation of plane through A (7, 8, 6) and parallel to the XY plane is

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

Answer: (C)

Solution

The XY-plane is , whose normal is along the Z-axis, i.e. . A plane parallel to it has the same normal, so its equation is for a constant . Since it passes through , the z-coordinate of every point on it

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Question ID VK-100755