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The focus of the curve y²+4 x-6 y+13=0 is

Options

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

Correct answer

B. (-2,3)

Step-by-step solution

The given equation of curve is: y²+4 x-6 y+13=0 which can be written as: y ²-6 y +9+4 x array l +4=0 (y²-6 y+9 )=-4(x+1) (y-3)²=-4(x+1) array Put Y=y-3 and X=x+1 On comparing Y²=4 a X Length of focus from vertex, a=-1 At focus X=a and Y=0 x+1=-1 array l x =-2 y -3=0 y =3 Focus is (-2,3) array

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