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MHT CET202012 Oct 2020Morning ShiftMathematicsStraight LinesActual

The line through the points (1,4),(-5,1) intersects the line 4 x+3 y-5=0 in the point

Options

  1. A(-1,-3)
  2. B( 5 3 , -5 3 )
  3. C(-1,3)
  4. D(2,1)

Correct answer

C. (-1,3)

Step-by-step solution

Equation of line passing through A ( x , y )=(1,4) and B ( x ₂, y ₂ )=(-5,1) is array l y-4 4-1 = x-1 1+5 y-4 3 = x-1 6 2(y-4)=x-1 x-1-2 y+8=0 x-2 y+7=0 ...(1) array Also given equation of line is 4 x+3 y-5=0 ...(2) Solving (1) & (2) we get x=-1, y=3

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