If the polynomial f(x)=4 x^{4}-a x^{3}+b x^{2}-c x+5 where a, b, c \\in R has four positive real roots say {r}_{1}, {r}_{2}, {r}_{3} and {r}_{4}, such that {{r}_{1}}/{2}+{{r}_{2}}/{4}+{{r}_{3}}/{5}+{{r}_{4}}/{8}=1. Find the value of ({a}-10).

JEE Advanced 2021 Full Test 1 Paper 2

SECTION – B (Single Digit Integer Type)
This section contains 06 questions. The answer to each question is a Single Digit integer ranging from 0 to 9, both inclusive.

Question : 43 of 54

Marks: +1, -0

If the polynomial f(x)=4x4−ax3+bx2−cx+5 where a,b,c∈R has four positive real roots say r1,r2,r3 and r4, such that

=1. Find the value of (a−10).

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