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CGP EDU Academic Team
Published on: August 14, 2026
Find the value of α for which point ( α , 2 α + 1) doesn't lie outside the parabola y = x 2 + x + 1.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
α∈ [0, 1]
Sol. x 2 + x + 1 – y = 0
( α , 2 α + 1)
α 2 + α + 1 – (2 α + 1) ≤ 0
⇒ α 2 – α ≤ 0 ⇒ α ( α – 1) ≤ 0 ⇒ α∈ [0, 1]
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