COMEDK · Maths · 13. Parabola
The equation of the parabola with vertex at \((-1,1)\) and focus \((2,1)\) is
- A \(y^{2}-2 y-12 x+13=0\)
- B \(y^{2}-2 y-12 x+11=0\)
- C \(x^{2}+2 x-12 y+13=0\)
- D \(y^{2}-2 y-12 x-11=0\)
Answer & Solution
Correct Answer
(D) \(y^{2}-2 y-12 x-11=0\)
Step-by-step Solution
Detailed explanation
Given, vertex of the parabola \((h, k)=(-1,1)\) and its focus is \((a+h, k)=(2,1) \text { or } a+h=2 \Rightarrow a=3\) We know that as the \(y\)-coordinate of vertex and focus are same,therefore axis of parabola is parallel to \(X\)-axis. Thus, equation of parabola is…
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