The curve represented by `x=2(cost+sint) and y = 5(cos t-sin t )` is

Options

A. a circle
B. a parabola
C. an ellipse
D. a hyperbola

Answer

C

Explanation

We gave
`x=2 ( cos t + sin t) and y=5( cos t - sin t) `
`implies ((x)/(2))^(2) +((y)/(5))^(2) implies (x^(2))/(8) +(y^(2))/(50)=1`
clearly it represents an ellipse .