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MHT CET20226 Aug 2022Morning ShiftMathematicsStraight LinesActual

The orthocenter of the triangle formed by the lines x-2 y=10 and 6 x^2+x y-y^2=0 is

Options

  1. A(2,-4)
  2. B(2,4)
  3. C(-2,-4)
  4. D(-2,4)

Correct answer

A. (2,-4)

Step-by-step solution

aligned & 6 x^2+x y-y^2=0 & (2 x+y)(3 x-y)=0 & 3 x-y=0 and 2 x+y=0 and x-2 y=10 & 2 x+y=0 and x-2 y=10 are perpendicular aligned Hence, orthocentre is point of intersection 2 x+y=0 and x-2 y=10 i.e. (2,-4)

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