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MHT CET202013 Oct 2020Evening ShiftMathematicsStraight LinesActual

The equations of the lines which make intercepts on the axes whose sum is 8 and product is 15 are

Options

  1. A3 x-5 y+15=0,5 x+3 y+15=0
  2. B5 x-3 y+15=0,3 x+5 y+15=0
  3. C3 x+5 y-15=0 , 3 y+5 x-15=0
  4. D3 x+5 y+15=0,5 x+3 y-15=0

Correct answer

C. 3 x+5 y-15=0 , 3 y+5 x-15=0

Step-by-step solution

Let ' a ' and ' b ' be the intercepts made by line. We have a+b=8 and a b=15 Solving, we get (a, b)=(3,5) or (5,3) Let equation of line be x a + y b =1 ...(1) When a=3, b=5 from (1) , we get x 3 + y 5 =1 5 x+3 y-15=0 ...(2) When a=5, b=3 from (1) , we get x 5 + y 3 =1 3 x+5 y-15=0 ...(3)

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