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AP EAMCET202021 Sep 2020Evening ShiftMathematicsPair of LinesActual

If one of the lines (2 x^2-x y+b y^2=0 ) passes through the point ((-4,-2) ), then (b^2= )

Options

  1. A-6
  2. B36
  3. C4
  4. D16

Correct answer

B. 36

Step-by-step solution

It is given that one of the lines (2 x^2-x y+b y^2=0 ) passes through the point ((-4,-2) ), so ( aligned & 2(-4)^2-(-4)(-2)+b(-2)^2 =0 & 32-8+4 b=0 b =-6 & b^2= 36 aligned ) Hence, option (b) is correct.

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