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The solution set of inequality (cot^(-1)...

The solution set of inequality `(cot^(-1)x)(tan^(-1)x)+(2-pi/2),cot^(-1)x-3tan^(-1)x-3(2-pi/2)>0` is `(a , b),` then the value of `cot^(-1)a+cot^(-1)b` is____

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. Evaluate/simplify the following: |pi-3-8-2sqrt(15)|

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  3. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2),cot^(-1...

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  4. Write the negative of the compound proposition p vv(~pvvq)

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  5. If a = sqrt((7+4sqrt3)/(7-4sqrt3)) then the value of [a(a-14)]^2 is

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  6. Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)),...

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  7. A set of n values x(1),x(2),…….,x(n) has standard deviation sigma. The...

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  8. If roots of x^3+bx^2+cx+d=0 are (A) in A.P. then 2b^3-9bc+27d=0 (B) ...

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  9. Prove 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

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  10. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

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  11. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

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  12. If y(x) is the solution of the differential equation (dy)/(dx)=-2x (y-...

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  13. If alpha and beta are the roots of the quadratic equation x^(2) - 4...

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  14. Let f (x) =x^(2), lamda x+ mu cos x, lamda being an integer and mu us ...

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  15. Value of lambda for which(lambda,lambda^2) lies between the lines |x+2...

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  16. Solve for x :5^(logx)+5x^(log5)=3(a >0); where base oflog\ is a

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  17. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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  18. Let C(1) and C(2) are circles defined by x^(2) + y^(2) - 20x + 64 = 0 ...

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  19. The number solution of the equation sgn(x^2)=|x-2| is (a)1 (b) 0 ...

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  20. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

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