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AP EAMCET202422 May 2024Morning ShiftMathematicsPair of LinesActual

The length of x -intercept made by pair of lines 2 x^2+x y-6 y^2-2 x+17 y-12=0 is

Options

  1. A2
  2. B10
  3. C5
  4. D20

Correct answer

C. 5

Step-by-step solution

2 x^2+x y-6 y^2-2 x+17 y-12=0 Comparing with aligned & a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 & a=2, g=-1, c=-12 aligned Length of x -intercept = 2 g^2-a c a = 2 1-2(-12) 2 =5 .

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