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The equation of the straight line passing through the point (4,3) and making intercepts on the co-ordinate axes whose sum is -1 is

Options

  1. Ax 2 + y 3 =-1 and x -2 + y 1 =-1
  2. Bx 2 - y 3 =-1 and x -2 + y 1 =-1
  3. Cx 2 + y 3 =1 and x 2 + y 1 =1
  4. Dx 2 - y 3 =1 and x -2 + y 1 =1

Correct answer

D. x 2 - y 3 =1 and x -2 + y 1 =1

Step-by-step solution

x a + y b =1 where a+b=-1 and 4 a + 3 b =1 a=2, b=-3 or a=-2, b=1 Hence x 2 - y 3 =1 and x -2 + y 1 =1

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