Q51 / 150 · MHT CET 2025 (19 Apr Shift 1) · Mathematics

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

  • A
    $z=7$
  • B
    $z=8$
  • Correct answer
    C
    $z=6$
  • D
    $z=4$

Solution

Planes parallel to the $XY$-plane have equations of the form $z = k$ where $k$ is constant.

The plane passes through $A(7,8,6)$, so its z-coordinate must satisfy the plane equation: $k = 6$.

The resulting equation is $z = 6$, which corresponds to option C.

Hence, the correct answer is option: 'C'.

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