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AP EAMCET202021 Sep 2020Evening ShiftMathematicsThree Dimensional GeometryActual

The line segment joining the points (A(2,3,4) ) and (B(-3,5,-4) ) intersects (y z )-plane at the point

Options

  1. A( (0, 19 5 , 4 5 ) )
  2. B((0,4,5) )
  3. C( (9, 14 5 , 4 ) )
  4. D((0,0,0) )

Correct answer

A. ( (0, 19 5 , 4 5 ) )

Step-by-step solution

Let (y z )-plane intersects the line joining points (A(2,3,4) ) and (B(-3,5,-4) ) in the ratio ( : 1 ) at point (M ), then (M ( -3 +2 +1 , 5 +3 +1 , -4 +4 +1 ) ) ( ) On (y z )-plane, (x )-coordinate (=0 ) ( =2 / 3 ) So, point (M ) have coordinates ( (0, 19 5 , 4 5 ) ) Hence, option (a) is correct.

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