Q. The equation 13$\left\lbrack (x - 1)^{2} + (y - 2)^{2} \right\rbrack = 3(2x + 3y - 2)^{2}$ represents

A) Parabola
B) Ellipse
C) Hyperbola
D) None of these
Explanation

(c)
Given equation is
$(x - 1)^{2} + (y - 2)^{2} = 3 \times \left( \ \ \ \frac{2x + 3y - 2}{\sqrt{13}} \right)^{2}$
On comparing with $PS = ePM$
$\therefore\ e = 3$
Hence, it represents a hyperbola

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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