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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Hyperbola

NDA 2019 · Mathematics · Hyperbola

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

The equation 2x2−3y2−6=02 x^2-3 y^2-6=0 represents

Options

  1. Aa circle
  2. Ba parabola
  3. Can ellipse
  4. Da hyperbola

Correct answer

D. a hyperbola

Step-by-step solution

Given equation, 2x2−3y2−6=02 x^2-3 y^2-6=0⇒2x2−3y2=6⇒x23−y22=1\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.
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