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The function f(x)=(tan^(-1)x)^3-(cot^(-1...

The function `f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2` is (a)decreasing `AAx in R` (b)increasing `AAx in R` (c)bounded (d) Many one functions

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RESONANCE DPP-JEE MAINS-All Questions
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  2. The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagona...

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  3. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is (a)decr...

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  4. If the lines joining the points of intersection of the curve 4x^2+9y+1...

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  5. If |1 1 1a b c a^3b^3c^3|=(a-b)(b-c)(c-a)(a+b+c), then the solution o...

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  6. The equation of the circle of radius 5 in the first quadrant which ...

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  7. If P=cospi/(20)dotcos(3pi)/(20)dotcos(7pi)/(20)dotcos(9pi)/(20)&Q=cosp...

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  8. If alpha,alpha^2) falls inside the angle made by the lines 2y=x ,x >0&...

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  9.   (2sec theta+3 tan theta+5 sin theta -7cos theta+5)/(2tan theta+3 s...

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  10. If A and B are symmetric matrices then A B-B A is a Symmetric Matrix ...

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  11. If a ,b ,c are real numbers satisfying the conditgion a+b+c=0, then th...

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  12. If x1, x2& x3 are three distinct numbers which satisfy the relation ...

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  13. The solution set of the inequality (3^x-4^x)/(x^2-3x-4)geq0i s

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  14. If the lines x^2+2x y-35 y^2-4x+44 y-12=0&5x+lambday-8=0 are conc...

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  15. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

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  16. Which of the following equations have no real solutions? (a) x^2-2x+5...

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  17. Let y=1/(2+1/(3+1/(2+1/(3+)))) , then the value of y is (a)(sqrt(1...

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  18. Consider a function f(x):R(R)R and if (lim)(xveca)[f(x)] does not exis...

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  19. Number of integers satisfying the inequation (x^2-x-1)(x^2-x-7)<-5, ar...

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  20. If the quadratic equations, a x^2+2c x+b=0a n da x^2+2b x+c=0(b!=c) ha...

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