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MHT CET202015 Oct 2020Evening ShiftMathematicsPair of LinesActual

The joint equation of the lines through the origin trisecting angles in first and third equadrant is

Options

  1. A3 (x²-y² )+4 x y=0
  2. B3 (x²+y² )-4 x y=0
  3. C3 (x²+y² )+4 x y=0
  4. D3 (x²-y² )-4 x y=0

Correct answer

B. 3 (x²+y² )-4 x y=0

Step-by-step solution

Equation line L ₁ is y = 30^ x y= 1 3 x x- 3 y=0 ...(1) Equation of line L ₂ is y = 60^ x y= 3 x 3 x-y=0 ...(2) Joint equation is (x- 3 y)( 3 x-y)=0 3 (x²+y² )-4 x y=0

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