Question

The graph represented by the equations x = sin²t, y = 2cost is

• A. Parabola
• B. Portion of a parabola
• C. Part of sine graph
• D. Part of hyperbola

Answer 1

Answer: (B)

Portion of a parabola

Answer 2

By eliminating ‘t’ we will get

x+$\frac { y ^ { 2 } } { 4 } = 1$ ⇒ y² = -4 (x-1), It is a parabola

but x = sin²t ⇒ 0≤x≤1

y = 2cost ⇒ -2≤y≤2

∴ y² = -4(x-1) is a portion of a parabola.