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Manipal MET2018MathematicsStraight Lines

If A(-1,2), B(5,1), C(6,5) are the vertices of a parallelogram A B C D . The equation to the diagonal through B is

Options

  1. Ax+y+6=0
  2. Bx+y-6=0
  3. Cx-y-4=0
  4. Dx-2 y-1=0

Correct answer

B. x+y-6=0

Step-by-step solution

Diagonals of parallelogram bisects each other. ( ) Diagonal BD passes through mid point of AC. i.e. ( ( 5 2 , 7 2 ) ) ( ) Equation of diagonal passing through ((5,1) ) and ( ( 5 2 , 7 2 ) ) is ( aligned & y-1= 7 2 -1 5 2 -5 (x-5) & y-1=-1(x-5) & y+x-6=0 aligned )

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