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Solve the equation 2sin^(-1)x=tan^(-1)((...

Solve the equation `2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))`

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RESONANCE DPP-JEE MAINS-All Questions
  1. A set of n values x(1),x(2),……,x(n) has standard deviation sigma. What...

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  2. 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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  3. Solve the equation 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

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

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  5. If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1...

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

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  7. Let f(x) =x^2+ ax + b cos x, a being an integer and b is a real numbe...

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

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

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  10. Let C1 and C2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+...

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

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

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  13. The function f(x)={ 1-2x+3x^2-4x^3; x!=-1, 1; x=-1} discuss the co...

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  14. Let f(x) be a differentiable function such that f(x)=x^2 +int0^x e^-t ...

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  15. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

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  16. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

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  17. The solution of the equation 7^(logx)-5^(logx+1)=3. 5^(logx-1)-13. 7^(...

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  18. int0^1(e^x dx)/(1+e^x)

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  19. Find the equation of the curve in which the perpendicular from the ori...

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  20. If the difference of the roots of the equation, x^2+p x+q=0 be unity, ...

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