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(lim)(xvec0)(s in x^4-x^4cos x^4)/(x^4(e...

`(lim)_(xvec0)(s in x^4-x^4cos x^4)/(x^4(e^(2x)^4-1-2x^4))` `1/3` b. `1/2` c. `1/6` d. `2`

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RESONANCE DPP-JEE MAINS-All Questions
  1. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...

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  2. Consider I1=int0^(pi/4)e^x^2dx ,I2=int0^(pi/4)e^x dx ,I3=int0^(pi/4)e^...

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  3. (lim)(xvec0)(s in x^4-x^4cos x^4)/(x^4(e^(2x)^4-1-2x^4)) 1/3 b. 1/2 c...

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  4. If An=int0^(pi/2)(sin(2n-1)x)/(s in x)"dx";"B""n"=int0^("pi"/2)(("s i ...

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  5. If A , B ,C are angles of a triangles, then the value of |[e^(2i A),...

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

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  7. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

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  8. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

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  9. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

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  10. The graph of the function y=cos xcos(x+2)-cos^2(x+1) is: (A) &n...

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  11. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n : k<0 b. k >6...

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  12. A round balloon of radius r subtends an angle alpha at the eye of the ...

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  13. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  14. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

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  15. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  16. A normal is drawn at point P(a ,a^n) on the curve =x^n in the first qu...

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  17. Sum of all the numbers between 1 and 1000 which are divisible by 3 i...

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  18. int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...

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  19. Given an A.P. whose terms are all positive integers. The sum of its fi...

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  20. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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