EllipseMedium
Question
The curve represented by x = 3 (cost + sin t), y = 4 (cost - sin t), is -
Options
A.ellipse
B.parabola
C.hyperbola
D.circle
Solution
Given 
= cost + sin t & 
= cost -sin t
Squaring these two,
⇒
= 1 + 2costsint .... (i)
= 1 - 2 sin t cost ... (ii)
Adding (i) & (ii)
= 2 ⇒ 
= 1
= cost + sin t & = cost -sin tSquaring these two,
⇒
= 1 + 2costsint .... (i) = 1 - 2 sin t cost ... (ii)Adding (i) & (ii)
= 2 ⇒ = 1Create a free account to view solution
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