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MHT CET2018MathematicsThree Dimensional Geometry

If points P 4 , 5 , x , Q 3 , y , 4 and R 5 , 8 , 0 are collinear, then the value of x + y is

Options

  1. A- 4
  2. B3
  3. C5
  4. D4

Correct answer

D. 4

Step-by-step solution

drs of PQ a 1 = 4 − 3 = 1 b 1 = 5 − y c 1 = x − 4 drs of PR a 2 = 5 − 4 = 1 b 2 = 8 − 5 = 3 c 2 = 0 − x = − x as P-Q-R collinear ∴ 1 1 = 5 − y 3 and 1 1 = x − 4 − x ∴ 3 = 5 − y and − x = x − 4 ∴ y = 2 and x = 2 ∴ x + y = 2 + 2 = 4

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