The equation y2 + 4x + 4y + k = 0 represents a parabola whose lat… - Vidyadip

MCQ

The equation y² + 4x + 4y + k = 0 represents a parabola whose latus rectum is:

A
1
B
2
C
3
D
4

✓

Answer

4

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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