A) An ellipse
B) A circle
C) A hyperbola
D) A parabola
Correct Answer: C
Solution :
\[\frac{x}{a}-\frac{y}{b}=m\] .....(i) \[\frac{x}{a}+\frac{y}{b}=\frac{1}{m}\] .....(ii) Multiplying equation (i) and (ii), \[\left( \frac{x}{a}-\frac{y}{b} \right)\,\left( \frac{x}{a}+\frac{y}{b} \right)=m.\frac{1}{m}\] \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], which is the equation of hyperbola.You need to login to perform this action.
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