Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Which one of the following equations parametrically represents equation to a parabolic profile?
A
x = 3 cos t; y = 4 sin t
B
x 2 − 2 = − 2 cos t; y = 4 cos 2 
C
= tan t; 
= sec t
D
x = 
; y = sin 
+ cos 
; y = sin + cos
Text Solution
Verified by ExpertsThe correct answer is:
B
x 2 – 2 = –2 cos t , y = 4 cos 2 
cos t = 
, y = 4 cos 2 
⇒ y = 2 
⇒ y = 2(1 + cos t)
y = 2 
⇒ y = 2 + 2 – x 2 ⇒ y = 4 – x 2
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