Let a , b , c be non zero real numbers such that _ 0 ^ 1 (1+ ^ 8 x ) (a x^ 2 +b x+c ) d…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Let a, b, c be non zero real numbers such that \(\int_{0}^{1}\left(1+\cos ^{8} x\right)\left(a x^{2}+b x+c\right) d x=\int_{0}^{2}\left(1+\cos ^{8} x\right)\left(a x^{2}+b x+c\right) d x\)
Then the quadratic equation ax2 + bx + c = 0 has
Then the quadratic equation ax2 + bx + c = 0 has
- no root in (0, 2)
- at least one root in (1, 2)
- a double root in (0, 2)
- two imaginary roots
Answer
(B) at least one root in (1, 2)
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