AP EAMCET · Maths · Three Dimensional Geometry
If the foot of the perpendicular drawn from the origin to a plane is \((1,2,3)\), then a point on that plane is
- A \((3,2,1)\)
- B \((7,2,1)\)
- C \((7,3,-1)\)
- D \((6,-3,4)\)
Answer & Solution
Correct Answer
(B) \((7,2,1)\)
Step-by-step Solution
Detailed explanation
DR′s of OP = = Since, OP is per pen dic u lar to the plane, there fore OP is nor mal to the plane. ∴ Equation of plane pass ing through (1, 2, 3) and hav ing d′r of its normal is 1(x − 1) + 2(y − 2) + 3(z − 3) = 0 ⇒ x + 2y + 3z − 14 = 0 ∴ (7, 2, 1) lies on the given plane.
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