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If lim(x to oo) sqrt(x^2-x-1)+alpha x + ...

If `lim_(x to oo) sqrt(x^2-x-1)+alpha x + beta=0`, then `abs(8(alpha+beta))` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
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  2. Let f:{1,2,3,4} to {1,2,3,4,5,6} , then number of functions for which ...

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  3. If lim(x to oo) sqrt(x^2-x-1)+alpha x + beta=0, then abs(8(alpha+beta)...

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  4. The remainder of (2024)^(2024) when divided by 7 is

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

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

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

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

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

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

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

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

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

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

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

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

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  18. 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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  19. 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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  20. Eight number 3,5,7,2k,12,15,21,27 are in increasing order and if mean ...

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