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We are given the curvers y=int(- infty)^...

We are given the curvers `y=int_(- infty)^(x) f(t) dt` through the point `(0,(1)/(2))` any `y=f(x)`, where `f(x) gt 0 and f(x)` is differentiable ,`AA x in ` R through `(0,1)` Tangents drawn to both the curves at the points with equal abscissae intersect on the same point on the X- axists
The number of solutions `f(x) =2ex ` is equal to

A

0

B

1

C

2

D

None of these

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The correct Answer is:
B
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ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  10. e total number of local maxima and local minima of the function f(x) =...

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  12. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  13. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  19. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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