Q204 / 270 · NDA 2019 (Phase 1) · Mathematics

The equation $2 x^2-3 y^2-6=0$ represents

  • A
    a circle
  • B
    a parabola
  • C
    an ellipse
  • Correct answer
    D
    a hyperbola

Solution

Given equation, $2 x^2-3 y^2-6=0$ $\begin{aligned} & \Rightarrow 2 x^2-3 y^2=6 \\ & \Rightarrow \frac{x^2}{3}-\frac{y^2}{2}=1\end{aligned}$ This equation represents hyperbola.

Hence, the correct answer is option: 'D'.

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