Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the set of values of α in the interval [ π /2, 3 π /2], for which the point (sin α , cos α ) does not lie outside the parabola 2y 2 + x – 2 = 0.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
∈ [ π /2, 5 π /6] ∪ [ π , 3 π /2]
Sol. From the given condition
2cos 2 α + sin α – 2 ≤ 0 ⇒ 2(1 – sin 2 α ) + sin α – 2 ≤ 0
2 sin 2 α – sin α ≥ 0 ⇒ sin α (2sin α – 1) ≥ 0
– 1 ≤ sin α ≤ 0, sin α ≥ 
⇒ α ∈ 
∪ 
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