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MHT CET202525 Apr 2025Evening ShiftMathematicsStraight LinesActual

The straight line passing through (-3,6) and midpoint of the line segment joining the points (4,-5) and (-2,9) have inclination

Options

  1. A4
  2. B6
  3. C3
  4. D3 4

Correct answer

D. 3 4

Step-by-step solution

Given points A(4,-5) and B(-2,9) , the midpoint is M = ( 4+(-2) 2 , -5+9 2 ) = (1,2) . The slope between P(-3,6) and M(1,2) is m = 2-6 1-(-3) = -1 . Since = -1 and ( 3 4 ) = -1 , the inclination is = 3 4 . Final answer: D

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