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AP EAMCET201920 Apr 2019Evening ShiftMathematicsThree Dimensional GeometryActual

If the line joining the points A(2,3,-1) and B(3,5,-3) is perpendicular to the line joining C(1,2,3) and D(3, y, 7) , then y=

Options

  1. A1
  2. B3
  3. C5
  4. D7

Correct answer

C. 5

Step-by-step solution

aligned & Given, A=(2,3-1) & B=(3,5-3) & DR's of A B =(3-2,5-3,-3+1)=(1,2,-2) & and C=(1,2,3) & D=(3, y, 7) aligned DR ^ s of C D =(3-1, y-2,7-3)=(2, y-2,4) Given, A B C D aligned & a₁ a₂+b₁ b₂+c₁ c₂=0 & (1)(2)+2(y-2)+(-2)(4)=0 & 2 y-10=0 & y=5 aligned Hence, option (c) is correct.

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