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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-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. State True or False :- The product of two rational numbers is always r...

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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) is a. zer...

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

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

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  7. The number of real solutions of equation x^((log)x2)+x^2=3x is 2 b. 1 ...

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

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  9. Consider the following statements as true or false:- The sum of two ra...

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  10. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

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

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  12. Let f(x)=3/4x+1,f^n(x)b ed efin e da sf^2(x)=f(f(x)),a n dforngeq2,f^(...

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  13. (log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5)++(log)3(1+1/(242)) when simp...

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

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  15. Simplify: 5^(1/((log)7 5))+1/(sqrt(-(log)(10)(0. 1)))3

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  16. If p,q in N and 0,1bar2=p/q where p and q are relatively prime then id...

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  17. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

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  18. The point Q is the image of the P in line x + y+ 4= 0 and R is the ima...

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

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  20. sqrt(5-log2x)=3-log2x

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