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MHT CET202123 Sep 2021Evening ShiftMathematicsPair of LinesActual

The combined equation of a pair of lines passing through the origin and inclined at 60^ and 30^ respectively with x -axis is

Options

  1. A3 (x^2+y^2 )=2 x y
  2. B3 (x^2+y^2 )=4 x y
  3. C4 (x^2+y^2 )= 3 x y
  4. D2 (x^2+y^2 )= 3 x y

Correct answer

B. 3 (x^2+y^2 )=4 x y

Step-by-step solution

The equation of two required lines are y= 3 x and y= 1 3 x Their combined equation is ( 3 x-y)(x- 3 y)=0 i.e. 3 x^2-4 x y+ 3 y^2=0

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