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MHT CET202311 May 2023Morning ShiftMathematicsStraight LinesActual

a and b are the intercepts made by a line on the co-ordinate axes. If 3 a = b and the line passes through (1,3) , then the equation of the line is

Options

  1. Ax+3 y=10
  2. B3 x+y=6
  3. Cx-3 y+8=0
  4. D3 x-2 y+3=0

Correct answer

B. 3 x+y=6

Step-by-step solution

Let the equation of the line be x a + y ~b =1 This line passes through the point (1,3) aligned & 1 a + 3 b =1 & b+3 a=a b & 2 b=a b & a=2 & b=3 a=6 aligned Equation (i) becomes, aligned & x 2 + y 6 =1 & 3 x+y=6 aligned

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