The quadratic equation whose roots are the minimum value of and is:

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

Problem

The quadratic equation whose roots are the minimum value of sin⁡2θ−sin⁡θ+12\sin^2\theta-\sin\theta+\frac12 and lim⁡x→∞((x+1)(x+2)−x)\displaystyle\lim_{x\to\infty}\left(\sqrt{(x+1)(x+2)}-x\right) is: (1) 3x2−7x+3=03x^2-7x+3=0 (2) 8x2−14x+3=08x^2-14x+3=0 (3) x2−7x+3=0x^2-7x+3=0 (4) 2x2−7x+3=02x^2-7x+3=0

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