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f(x)=int(0)^(x) (4t^(4)-at^(3)) dt and g...

`f(x)=int_(0)^(x) (4t^(4)-at^(3)) dt and g(x)` is quadratic satifying ` g(0)+6=g' (0)-c=g'' (c)+2b=0.y=h(x)` intersect in 4 distinct points with abscissae `x_(i), i=1,2,3,4 ` such that ` sum(i)/(x_(i)) =8,a,b,c in R^(+)` and h (x)=f' (x)`.
'a' is equal to

A

6

B

8

C

20

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
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