A variable plane passes through a fixed point (1, 2, 3). The locus of the foot of the…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
A variable plane passes through a fixed point (1, 2, 3). The locus of the foot of the perpendicular drawn from origin to this plane is :
- x2 + y2 + z2 – x – 2y – 3z = 0
- x2 + 2y2 + 3z2 – x – 2y – 3z = 0
- x2 + 4y2 + 9z2 + x + 2y + 3 = 0
- x2 + y2 + z2 + x + 2y + 3z = 0
Answer
(A) x 2 + y 2 + z 2 – x – 2y – 3z = 0
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