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AP EAMCET202419 May 2024Evening ShiftMathematicsStraight LinesActual

The perpendicular distance from the point (-1,1,0) to the line joining the points (0,2,4) and (3,0,1) is

Options

  1. A10
  2. B2 5 5
  3. C5 2
  4. D8

Correct answer

C. 5 2

Step-by-step solution

Since, equation of line A B is x-0 3 = y-2 -2 = z-4 -3 aligned & x 3 = y-2 -2 = z-4 -3 =k( Let ) & (x, y, z)=(3 k,-2 k+2,-3 k+4) aligned Now, direction ratio of P C is (3 k+1,-2 k+1,-3 k+4) So, 3(3 k+1)+(-2)(-2 k+1)-3(-3 k+4)=0 22 k=11 k= 1 2 So, C ( 3 2 , 1, 5 2 ) P C= 25 4 +0+ 25 4 = 5 2 .

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