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MHT CET202012 Oct 2020Evening ShiftMathematicsStraight LinesActual

The line cuts X and Y axes at the points A and B respectively. The point (5,6) divides the line segment AB internally in the ratio 3: 1 , then equation of line is

Options

  1. A2 x+y=16
  2. B2 x+5 y=40
  3. C2 x-y=4
  4. D2 x-5 y=-20

Correct answer

B. 2 x+5 y=40

Step-by-step solution

Let A (a, 0) and B (0, b) Let P (5,6) and it divides A B in the ratio 3: 1 array l 5= 3 0+1(a) 3+1 5= a 4 a=20 6= 3 b+1 0 3+1 3 b=24 b=8 array Thus intercepts on X and Y axes are 20 and 8 respectively. Equation of AB is x 20 + y 8 =1 i.e. 2 x +5 y =40

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