If the range of for is

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

If the range of f(x)=tan⁡−1(3x2+bx+3)f(x)=\tan^{-1}(3x^2+bx+3) for x∈Rx\in\mathbb{R} is [0,π2)\left[0,\frac{\pi}{2}\right), then the square of the sum of all possible values of bb is (1) 0 (2) 18 (3) 72 (4) None of these

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