Let a, b, c be the roots of the equation x^{4}+x^{3}+x^{2}+x-1=0. Let f(x)=x^{6}-6 x^{2}+6 x+7 and g(x)=p x^{2}+q x+r(p, q, r \\in R, p \\neq0). If f(a)=g(a) ; f(b)=g(b) and f(c)=g(c) ; then the maximum value of g(x) is:

JEE Advanced 2021 Full Test 5 Paper 2

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded‐off to the second decimal place; e.g. XXXXX.XX).

Question : 50 of 54

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Let a,b,c be the roots of the equation x4+x3+x2+x−1=0. Let f(x)=x6−6x2+6x+7 and g(x)=px2+qx+r(p,q,r∈R,p≠0).
If f(a)=g(a);f(b)=g(b) and f(c)=g(c); then the maximum value of g(x) is:

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