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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
MCQ
The equation $y^2+ 4x + 4y + k = 0$ represents a parabola whose latus rectum is:
  • A
    $1$
  • B
    $2$
  • C
    $3$
  • ✓
    $4$
✓

Answer

Correct option: D.
$4$
$y^2+ 4x + 4y + k = 0$
$y^2+ 2 \times 2y + 4 - 4 + 4x + k = 0$
$(\text{y}+2)^2=-4\text{x}-\text{k}+4$
$(\text{y}+2^2)=-4\Big(\text{x}-\frac{4\ +\ \text{k}}{4}\Big)$
$\therefore$ Latus rectum $= 4$ units

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