Q. The equation ${(x - 2)}^{2} + {(y - 3)}^{2} = \left( \frac{3x + 4y - 2}{5} \right)^{2}$ represents
A) A parabola
B) A pair of straight lines
C) An ellipse
D) A hyperbola
Explanation
(a)
$(x,\ y)$ is the set of points equidistant from point $(2,\ 3)$ and the line $3x + 4y - 2 = 0$. So the given equation represents a parabola
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.