WBJEE · Maths · Parabola
The equation \(y^{2}+4 x+4 y+k=0\) represents a parabola whose latusrectum is
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(D) 4
Step-by-step Solution
Detailed explanation
\(y^{2}+4 x+4 y+k=0\) \(y^{2}+2 \times 2 y+4-4+4 x+k=0\) \((y+2)^{2}=-4 x-k+4\) \((y+2)^{2}=-4\left(x-\frac{4+k}{4}\right)\) \(\therefore\) Latusrectum \(=4\) units
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