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`int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dx` is equal to

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RESONANCE DPP-JEE MAINS-All Questions
  1. If y=x/(a+x/(b+x/(a+oo))),t h e nfin d(dy)/(dx)

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  2. If A=[1-1 2 1],B=[a1b-1]a n d(A+B)^2=A^2+B^2+2A B , then a=-1 (b) a=...

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  3. int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dx is equal to

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  4. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then the va...

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  5. If xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx) is equal to 1/((1+x)^2) (b...

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  6. Harmonic conjugate of the point (5, 13) with respect to (2,-5) and (3,...

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  7. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

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  8. If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y...

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  9. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

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  10. For the equation, 3x^2+p x+3=0,p >0, if one of the roots is square of...

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  11. Let e^(f(x))=lnxdot If g(x) is the inverse function of f(x), then g...

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  12. If tan25^0=a , then the value of (tan205^0-t a n 115^0)/(tan245^0+t a ...

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  13. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

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  14. The exact value of (96sin80^0sin65^0sin35^0)/(sin20^0+s in 50^0+s in 1...

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  15. If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequalit...

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  16. If graph of y= f(x) is as shown in figure, then which of the following...

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  17. If f(x)=(log)x(logx) , then f'(x) at x=e is equal to......

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  18. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

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  19. Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt)=2 and x=3 at t=0, then (dx)/...

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  20. The graphs of y=s in x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

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