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AP EAMCET202022 Sep 2020Morning ShiftMathematicsStraight LinesActual

The point of intersection of lines denoted by 3 x^2-11 x y+10 y^2-7 x+13 y+4=0 is

Options

  1. A(3,1)
  2. B(1,3)
  3. C(0,0)
  4. D(-3,-1)

Correct answer

A. (3,1)

Step-by-step solution

Equation of given lines f(x, y) 3 x^2-11 x y+10 y^2-7 x+13 y+4=0 The point of intersection of line is same as the point of intersection of lines f x =0 and f y =0 array ll & f x =6 x-11 y-7=0 and & f y =-11 x+20 y+13=0 array by cross multiplication method, we have aligned & x -143+140 = -y 78-77 = 1 120-121 & x 3 = y 1 = 1 1 aligned Point of intersection is (3,1) .

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