## Question

###### The quadratic equation whose roots are the minimum value of $sin ^{2} heta-sin heta+frac{1}{2}$ and $lim _{x ightarrow infty} sqrt{(x+1)(x+2)}-x$ is(a) $3 x^{2}-7 x+3=0$(b) $8 x^{2}-14 x+3=0$(c) $x^{2}-7 x+3=0$(d) $2 x^{2}-7 x+3=0$

The quadratic equation whose roots are the minimum value of $sin ^{2} heta-sin heta+frac{1}{2}$ and $lim _{x ightarrow infty} sqrt{(x+1)(x+2)}-x$ is (a) $3 x^{2}-7 x+3=0$ (b) $8 x^{2}-14 x+3=0$ (c) $x^{2}-7 x+3=0$ (d) $2 x^{2}-7 x+3=0$

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