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AP EAMCET20224 Jul 2022Evening ShiftMathematicsThree Dimensional GeometryActual

If x -coordinate of a point P on the line joining the points Q 2 , 2 , 1 and R 5 , 2 , - 2 is 4 , then the y -coordinate of P =

Options

  1. A- 1 2 ( x -coordinate of P )
  2. B- 2 ( z -coordinate of P )
  3. C2 ( z -coordinate of P )
  4. DSum of x and z coordinates of P

Correct answer

B. - 2 ( z -coordinate of P )

Step-by-step solution

Given, x -coordinate of a point P on the line joining the points Q 2 , 2 , 1 and R 5 , 2 , - 2 is 4 , Now let assume that point P is dividing the point Q   &   R in ratio of λ : 1 , So by section formula we get, 4 = 2 + λ × 5 λ + 1 ⇒ 4 λ + 1 = 2 + λ × 5 ⇒ λ = 2 Now finding the y coordinate of point P we get, y = 2 + 2 λ λ + 1 ⇒ y = 6 3 = 2   . . . . . . . . . 1 Now finding the z coordinate of point P we get, z = 1 + λ - 2 &#

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