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CGP EDU Academic Team
Published on: August 13, 2026
Find the points of intersection of the curves whose parametric equations are x = t 2 + 1, y = 2t and x = 2s, y = 2/s.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(2, 2)
Sol. eliminating t we get y 2 = 4x – 4
Put x = 2s, y = 
⇒ 2s 3 – s 2 – 1 = 0 ⇒ (s – 1) (2s 2 + s + 1) = 0 ⇒ s = 1
∴ Put s = 1 in x = 2s and y = 
, we get x = 2, y = 2
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