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If int-2^-1 (ax^2-5)dx=0 and 5 + int1^...

If `int_-2^-1 (ax^2-5)dx=0 and 5 + int_1^2 (bx + c) dx = 0`, then

A

`ax^(2)- bx+x=0` has aleast one root in` (1,2)`

B

`ax^(2)-bx+c =0` has aleast one root in `(-2,-1)`

C

`ax^(2)+bx+c=0` has atleast one root in`(-2,-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Single Option Correct Type Questions)
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  11. int(0)^(infty)f(x+(1)/(x)). (In x )/(x)dx is equal to

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  12. lim(lamda to 0)(int(0)^(1) (1+x)^(lambda ) dx)^(1//lambda) Is equal t...

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  13. If g(x) is the inverse of f(x) and f(x) has domain x in [1,5], where...

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  14. The value of the definite integral int(0)^(pi//2)sin x sin 2x sin 3x d...

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  15. If f(x)= int(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable functi...

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  16. The number of integral solutions of the equation 4int (0)^( infty)(In"...

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  17. int(0)^(16n^(2)//pi) "cos" (pi)/(2)[(xpi)/(n)] dx is equal to

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  18. If int-2^-1 (ax^2-5)dx=0 and 5 + int1^2 (bx + c) dx = 0, then

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  19. The value of int(3)^(6)(sqrt(x+sqrt(12x-36))+sqrt(x-sqrt(12x- 36)))dx...

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  20. Let In=int(-n)^n({x+1}*{x^2+2}+{x^2+2}{x^3+4})dx, where {*} denotet th...

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