MCQ
The equation y2 + 4x + 4y + k = 0 represents a parabola whose latus rectum is:
- A1
- B2
- C3
- D4
The equation y2 + 4x + 4y + k = 0 represents a parabola whose latus rectum is:
Solution:
y2 + 4x + 4y + k = 0
y2 + 2 × 2y + 4 - 4 + 4x + k = 0
$(\text{y}+2)^2=-4\text{x}-\text{k}+4$
$(\text{y}+2^2)=-4\Big(\text{x}-\frac{4\ +\ \text{k}}{4}\Big)$
$∴$ Latus rectum = 4 units
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