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Let x^(**)y=x^2+y^3 and (x^(**)1)^(**)1=...

Let `x^(**)y=x^2+y^3 and (x^(**)1)^(**)1=x^(**)(1^(**)1)`.then a value of `2sin^-1((x^4+x^2-2)/(x^4+x^2+2))` is

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  1. For any real number x, let [x] denote the largest integer less than or...

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  2. Find the area bounded by the region A={(x,y):x^2 le y le min (x+2,4-3x...

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  3. Let x^(**)y=x^2+y^3 and (x^(**)1)^(**)1=x^(**)(1^(**)1).then a value o...

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  4. The general solution of (x-y^2)dx+y(5x+y^2)dy=0 is

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  5. The number of bijective function f(1,3,5,7, . . .,99) to (2,4,6,8,. . ...

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  6. The value of 2 sin (pi/22) sin ((3pi)/22) sin ((5pi)/22) sin ((7pi)/22...

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  7. The remainder when (11)^1011 + (1011)^11 is divided by 9 is

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  8. lim(x to pi/4) (8 sqrt2-8(sinx+cosx))/(sqrt2-sqrt2 sin2x) is equal to

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  9. Area enclosed by the curve y^2+x^4=x^2 is

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  10. If P(A)=1/3 , P(B)=1/5 and P(A uu B)=1/2 then P(A//B')+P(A'//B)=

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  11. Let f(x) =[x^2-2x]+abs(5x-7) , and let m be minimum value of f(x) and ...

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  12. If the equation x^3+px^2+qx+1=0(p < q) has only one real root alpha th...

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  13. Statement p to Ramu is innocent q toRamu is not honest r to Ramu i...

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  14. If A =[(1,a,a),(0,1,b),(0,0,1)] and A^n=[(1,48,2064),(0,1,96),(0,0,1)]...

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  15. Focus of ellipse x^2/9+y^2/7=1 and hyperbola x^2/(1/4)-y^2/a^2=1 coinc...

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  16. Eight number 3,5,7,2k,12,15,21,27 are in increasing order and if mean ...

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  17. sum(n=1)^21 3/((4n-1)(4n+3)) = ?

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  18. A(-1,1) and B(1,-1) are two points on the curve y^2=2x+2y+1. Tangents ...

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  19. int-3^101 ([sin pi x]+e^[[cos 2pi x]])dx is equal to ? ( where [x] den...

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  20. lim(n to oo) 1/2^n(1/(sqrt(1-1/2^n))+1/(sqrt(1-3/2^n))+1/(sqrt(1-7/2^n...

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