If the equation x cos θ = x 2 + p has a real solution for every θ where 0 ≤ θ ≤ \frac{\pi }{4}, then which one of the following is correct?

UPSC CDS I 2024 Math Paper

Question : 11 of 100

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If the equation x cos θ = x² + p has a real solution for every θ where 0 ≤ θ ≤ ‌

π‌

, then which one of the following is correct?

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