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AP EAMCET202317 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

A (2,3,5), B ( , 3,3) and C (7,5, ) are the vertices of a triangle. If the median through A is equally inclined with the coordinate axes, then =

Options

  1. A-9
  2. B-1 9
  3. C-2 9
  4. D9 2

Correct answer

A. -9

Step-by-step solution

Given, points A (2,3,5), B ( , 3,3) and C (7,5, ) Mid-point of BC is D ( +7 2 , 4, 3+ 2 ) Direction ratio of line joining points A (2,3,5) and D ( +7 2 , 4, 3+ 2 ) is ( +3 2 , 1, -7 2 ) . The line segment AD is equally inclined with co-ordinate axes. So, +3 2 =1= -7 2 =-1 and =9 =-9

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