Question:medium

The foot of the perpendicular drawn from the origin to the plane is $(4,-2,5)$, then the Cartesian equation of the plane is

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Logic Tip: A blazing fast shortcut is to recognize that since the plane must pass through the point $(4,-2,5)$, you can simply plug these coordinates into the given options. Option A: $4(4) - 2(-2) + 5(5) = 16 + 4 + 25 = 45$. This matches perfectly, and it's much faster during an exam!
Updated On: Apr 28, 2026
  • $4x-2y+5z=45$
  • $-4x+2y+5z=45$
  • $4x-2y+5z+45=0$
  • $4x+2y-5z+45=0$
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The Correct Option is A

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