TS EAMCET · Maths · Parabola
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?
- A Both I and II are true
- B I is true, II is false
- C I is false, II is true
- D Both I and II are false
Answer & Solution
Correct Answer
(B) I is true, II is false
Step-by-step Solution
Detailed explanation
Given parabola is \(y^2+6 y-2 x+5=0\) \(\begin{array}{rlrl}\Rightarrow & y^2+6 y+9-9-2 x+5 & =0 \\ \Rightarrow & & (y+3)^2= & 2 x+4 \\ \Rightarrow & & (y+3)^2=2(x+2)\end{array}\) Vertex of parabola is \((-2,-3)=(h, k)\) Equation of directrix is \(x-h+a=0\)…
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