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STD 11 - 10.2 parabola,ellipse,hyperbola — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 10.2 parabola,ellipse,hyperbola1 Mark
MCQ
The equation ${x^2} + 4xy + {y^2} + 2x + 4y + 2 = 0$ represents
  • A
    An ellipse
  • B
    A pair of straight lines
  • ✓
    A hyperbola
  • D
    None of these
✓

Answer

Correct option: C.
A hyperbola
c
(c) Obviously ${h^2} > ab$ and

$\Delta = (1)\,(1)\,(2) + 2(2)\,(1)\,(2) - (1)\,{(2)^2} - (1)\,{(1)^2} - 2{(2)^2} < 0$

Hence it is a hyperbola.

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