Let {f}({x}) is a quadratic expression with positive integral coefficients such that for every. \\alpha \\beta\\in{R}, \\beta>\\alpha. \\int_{a} ^{B} f(x) d x>0 Let g(t)=f'(t) \.f(t) and g(0)=12. If no of quadratics are ab where a and b are natural number than \frac{a+b}{2} is equal to. (ab is 2 digit number)

JEE Advanced 2021 Full Test 2 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 : 53 of 54

Marks: +1, -0

Let f(x) is a quadratic expression with positive integral coefficients such that for every. αβ∈R, β>α.

∫

f(x)dx>0 Let g(t)=f′(t).f(t) and g(0)=12. If no of quadratics are ab where a and b are natural number than

a+b

is equal to. (ab is 2 digit number)

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a=6,	c=1
a=1,	c=6
a=3,	c=2
a=2,	c=3