Question

Let $a_1 >a_2 >a_3 >a_4 >a_5 >a_6$ $p = a _1+ a _2+ a _3+\ldots \ldots+ a _6 $ $q = a _1 a _3+ a _3 a _5+ a _5 a _1+ a _2 a _4+ a _4 a _6+ a _6 a _2$ $r=a_1 a_3 a_5+a_2 a_4 a_6$, then the equation $2 x^3-p x^2+q x-r=0$ has

• A. one root between $\left(a_1, a_2\right)$
• B. two roots between $\left( a _1, a _3\right)$
• C. two roots lies between $\left(a_1, a_4\right)$
• D. two roots lies between $\left(a_3, a_5\right)$

Answer 1

Answer: (A), (C)

Correct answer is (a) one root between $\left(a_1, a_2\right)$Correct answer is (c) two roots lies between $\left(a_1, a_4\right)$