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If f(x)=2x+abs(x),g(x)=1/3(2x-abs(x)) an...

If `f(x)=2x+abs(x),g(x)=1/3(2x-abs(x))` and h(x)=f(g(x)), domain of `underbrace(sin^(-1)(h(h(h(h...h(x)...)))))_("n times")` is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If x=(log)k b=(log)b c=1/2(log)c d ,t h e n(log)k d is equal to 6x b. ...

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  2. Product of two rational numbers is

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  3. If f(x)=2x+abs(x),g(x)=1/3(2x-abs(x)) and h(x)=f(g(x)), domain of unde...

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  4. The number of solution of the equation log(-2x)= 2 log(x+1) are

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  5. A set A contains 10 elements. Set B is subset of A and sec C is also ...

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  6. Prove that 3+2sqrt(5) is irrationals :

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  7. Given the equation of the line 3x-y+z+1=0 and 5x-y+3z=0. Then,which of...

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  8. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

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  9. Find interval of values of ' a ' for which one root of equation x^2+a^...

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  10. sum of two rational numbers is

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  11. If log(10)(x-1)3-3log(10)(x-3)=log(10)8,then log(x)625 has the value e...

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  12. Consider the following statements (i) The sum of a rational number ...

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  13. Number of ordered pair (x ,y) which satisfy the equation 2sinx=y^2+2y+...

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  14. Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n...

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  15. log(3)(1+(1)/(3))+log(3)(1+(1)/(4))+log(3)(1+(1)/(5))+..+log(3)(1+(1)/...

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  16. Which of the following number is irrational a. sqrt(4/9) b. 8/(27)3 c....

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  17. If vec xa n d vec y are two non-collinear vectors and a, b, and c r...

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  18. Simplify :""^(3)sqrt(5^((1)/(log(7)5))+(1)/(sqrt(-log(10)(0.1))))

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  19. If p,q in N and 0.1bar2=p/q where p and q are relatively prime then wh...

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  20. For f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) (a) f(m a x)=pi/(1...

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