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Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2...

Let `f(0)=0a n dint_0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)i s` log 2 (b) log 7 (c) log 11 (d) log 13

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RESONANCE DPP-JEE MAINS-All Questions
  1. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

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  2. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

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  3. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

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  4. The value of c in Rolles theorem for the function f(x)=(x(x+1))/(e^...

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  5. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

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  6. a,b,c are positive real numbers such that loga(b-c)=logb/(c-a)=logc/(a...

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  7. The system of equations 'alpha' x+y+z=1,x+2y+4z=alpha and x+4y+10 z=...

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  8. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

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  9. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

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  10. If |x^2-5x+3 2x-5 3 3x^2+x+4 6x+1 9 7x^2-6x+9 14 x-6 21| =a x^3+b x^...

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  11. If y = x^3-3x + 2, then draw the graph of the followings (i) y=|x^3-3x...

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  12. The equation of a line which is parallel to the line common to the pai...

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  13. If y = x^3-3x + 2, then draw the graph of the followings (i) y=|x^3-3x...

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  14. If point (a ,a) lies in between the lines |x+y|=6 , then ' a ' may sat...

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  15. If sintheta+costheta=1/5"and"0 le theta ltpi, thentantheta is

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  16. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

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  17. If a x ^2+b x+c=0 has imaginary roots and a-b+c >0 then the set of p...

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  18. From a point "P" on the line 2x y 4 which is nearest to the circle x2 ...

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  19. If a, b and c are in AP and if the equations (b-c)x^2 + (c -a)x+(a-b)=...

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  20. ABC is a right triangle, right - angled at the vertex A. A circle is d...

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