Consider the quadratic equation . Let be the minimum value of the product of its roots and be the maximum value of the sum of its roots. Then the sum of the first six terms of the G.P., whose first term is and the common ratio is , is :

Consider the quadratic equation . Let be the minimum value o... — JEE PYQs | Mockzy

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Consider the quadratic equation

(n^{2} -2 n + 2) x^{2} -3 x + (n^{2} -2 n + 2)^{2} = 0, n \in R

. Let

α

be the minimum value of the product of its roots and

β

be the maximum value of the sum of its roots. Then the sum of the first six terms of the G.P., whose first term is

α

and the common ratio is

\frac{1}{β}

, is :

\frac{81}{61}

\frac{121}{37}

\frac{243}{364}

\frac{1093}{729}

Let be defined as . Then f is :

Let . Then is equal to:

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