Question: The curve represented by x = 3 (cos t + sin t), y = 4 (cos t –sin t) is...

Question

The curve represented by x = 3 (cos t + sin t), y = 4

(cos t –sin t) is

Answer 1

cos t + sin t = $\frac{x}{3}$ …(1)

cos t – sin t = $\frac{y}{4}$ …(2)

By (1)² + (2)² ̃ $\left( \frac{x}{3} \right)^{2}$ + $\left( \frac{y}{4} \right)^{2}$ = 2

= $\frac{x^{2}}{18}$ + $\frac{y^{2}}{32}$ = 1