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AP EAMCET201822 Apr 2018Morning ShiftMathematicsThree Dimensional GeometryActual

If the foot of the perpendicular drawn from the origin to a plane is (1,2,3) , then a point on that plane is

Options

  1. A(3,2,1)
  2. B(7,2,1)
  3. C(7,3,-1)
  4. D(6,-3,4)

Correct answer

B. (7,2,1)

Step-by-step solution

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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