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Which of the following are true for the inequation `(x-1)(x-2)(x-4)(x-9)(x-12)lt=0?` Number of natural numbers satisfying the inequation are 8. Number of prime numbers satisfying the inequation are 3. Number of composite numbers satisfying the inequation are 4.

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RESONANCE DPP-JEE MAINS-All Questions
  1. If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x(a , ...

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  2. Which pair(s) of function(s) is/are equal? f(x) = cos(2tan^-1 x) ;g(x)...

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  3. Which of the following are true for the inequation (x-1)(x-2)(x-4)(x-9...

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  4. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

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  5. Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a...

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  6. If domain of f(x) be (-1, 2), then (1) domain of f(sin x) will be (-oo...

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  7. If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b...

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  8. If f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x) is a function having the same...

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  9. The greatest ' x ' satisfying the inequation (2x+1)/3-(3x-1)/2>1 is: -...

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  10. If (x-1)(x-3)(x+2)(x-5)>0 then ' x^(prime) can be [6,8] (b) [2, 3] (c...

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  11. In the figure, if A B=A C ,/B A D=30^0 and A E=A D , then x is equal t...

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  12. Number of composite numbers less than 20 which are coprime with 4 s...

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  13. Number of integrs less than 15 satisfying the equation 2^(|x+1|)-2^x=...

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  14. If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx)a tx=0i s -3/(10) ...

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  15. The least value of x satisfying the equation 2^(|x+1|)-2^x=|2^x-1|+1...

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  16. If f(x)=4x^3-x^2-2x+1 and g(x)=min{f(t): 0lt=tlt=x} : 0lt=xlt=1 and g(...

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  17. Let aa n db be the number of solutions and sum of solutions of (2x)/(x...

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  18. If xcosy+ycosx=pi then the value of y^(0) is equal to pi (b) -pi (c)...

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  19. The simultaneous equations, y=x+2|x|&amp; y=4+x-|x| have the solution...

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  20. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

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