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MHT CET202121 Sep 2021Evening ShiftMathematicsPair of LinesActual

If the lines x^2-4 x y+y^2=0 make angles and with positive direction of X-axis, then ^2 + ^2 =

Options

  1. A14
  2. B16
  3. C18
  4. D20

Correct answer

A. 14

Step-by-step solution

We have lines x^2-4 x y+y^2=0 and slopes of the lines are and . aligned & + =4 and =1 & = 1 = & + =4 squaring we get ^2 + ^2 +2=16 & ^2 + ^2 =14 aligned

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