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If f(x)=x^(3)+3x^(2)+4x+asinx+bcosx, for...

If `f(x)=x^(3)+3x^(2)+4x+asinx+bcosx, forall x in R` is a one-one fuction, then the greatest value of `(a^(2)+b^(2))` is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The number of value(s) of x satisfying 1-log(3)(x+1)^(2)=1/2log(sqrt(3...

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  2. If x=3=sqrt(8),t h e nx^3+1/(x^3) is equal to 6 b. 198 c. 6sqrt(2) d. ...

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  3. If f(x)=x^(3)+3x^(2)+4x+asinx+bcosx, forall x in R is a one-one fuctio...

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  4. Solve the following inequations (x-1)^2lt=0

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  5. Given the relation R={(1,2),(2,3)} on the set A={1,2,3}, add a minim...

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  6. Solve inequality (x^2-5x+6)/(x^2+x+1)<0

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  7. In how many types ways can five different examination papers of maths...

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  8. The positive integers p ,q ,a n dr are all primes if p^2-q^2=r , then ...

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  9. The area covered by the curve y=max{2-x,2,1+x} with x-axis from x=-1 t...

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  10. Which is greater ? 12^8 or 6^4

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  11. If P(B)=3//4, P(AnnBnnC)=1//3 and P( A nnBnn C )=1//3, t h e nP(BnnC...

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  12. Which is greater ? 3 3 or 5 4

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  13. sum(r=1)^(n) 1/(log(2^(r))4) is equal to

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  14. The number of real solutions of the equation x^6-x^5+x^4-x^3+x^2-x+1=0...

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  15. A function f(x) takes a domain D onto a range R if for each y in R , ...

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  16. Find logarithm of the following values: 500

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  17. The value of lim(x to oo)(d)/(dx)int(sqrt(3))^(sqrt(x))(r^(3))/((r+1)...

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  18. Find logarithm of the following values : {:((i),0.128,(ii),0.0125,(...

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  19. If alpha and beta are the roots of the equation x^2-px + q = 0 then t...

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  20. Use the logarithm tables to find the logarithm of the following number...

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