Question

The locus of a point represented by

x = $\frac{a}{2}\left( \frac{t + 1}{t} \right)$, y = $\frac{a}{2}\left( \frac{t - 1}{t} \right)$ is-

• A. An ellipse
• B. A circle
• C. Straight line
• D. None

Answer 1

Answer: (C)

Straight line

Answer 2

x = $\frac{a}{2}\left( 1 + \frac{1}{t} \right)$ ...(i)

y = $\frac{a}{2}\left( 1 - \frac{1}{t} \right)$ ...(ii)

x + y = $\frac{a}{2}$ (2) Ž x + y = a

which is a straight line