Answer:
Step-by-step explanation:
Given that a conic section has parametric equations x= a cos t and y= b sin t,
Since only sum of squares of sin and cos =1 we find that out of conic sections, namely
parabola, circle, ellipse, hyperbola this can correspond only to ellipse or circle
Because parabola has only one variable in 2 degrees and hyperbola is difference of squares.
i) When a=b, we have this represents a circle with radius a.
ii) When a>b, we get an ellipse horizontal with major axis horizontal and centre at the origin and vertex at (a,0) (-a,0) (0,b) (0,-b)
iii) When a <b, we get a vertical ellipse with major axis as y axis and vertices same as
(a,0) (-a,0) (0,b) (0,-b)