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AP EAMCET2007MathematicsParabola

For the parabola y^2+6 y-2 x+5=0 (I) The vertex is (-2,-3) (II) The directrix is y+3=0 Which of the following is correct?

Options

  1. ABoth I and II are true
  2. BI is true, II is false
  3. CI is false, II is true
  4. DBoth I and II are false

Correct answer

B. I is true, II is false

Step-by-step solution

Given parabola is y^2+6 y-2 x+5=0 array rlrl & y^2+6 y+9-9-2 x+5 & =0 & & (y+3)^2= & 2 x+4 & & (y+3)^2=2(x+2) array Vertex of parabola is (-2,-3)=(h, k) Equation of directrix is x-h+a=0 array r x+2+ 1 2 =0 2 x+5=0 array I is true and II is false.

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