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if (y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilo...

if `(y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilonR` then `([.]` denotes G.I.F) number of positive integer value of x is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let A=int(0)^(1)(e^(x))/(x+1) dx then answer the following questions i...

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  2. If vec a=2x^2 hat i+4x hat j+ hat ka n d vec b=7 hat i-2 hat j+x hat ...

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  3. if (y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilonR then ([.] denotes G.I.F) nu...

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  4. Let f(x)=e^(x),g(x)={:{(x^(2),if,xlt(1)/(2)),(x-(1)/(4),if,xge(1)/(2))...

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  5. Consider the set of eight vectors V[ahati+bhatj+chatk:a,b,c in {1-1}]....

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  6. Given the function f(x) = 1/( 1-x) , The points of discontinuity of th...

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  7. Function g(x)=2f((x^(2))/(2))+f(6-x^(2)) for all xepsilonR is decreasi...

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  8. Odds 8 to 5 against a person who is 40 years old living till he is ...

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  9. Solve the following for x : tan^(-1)2x+tan^(-1)3x=npi+(3pi)/4

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  10. The value of (lim)(nvecoo)((sin{2/n})/([2nt a n1/n](t a n1/n))+1/(n^2...

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  11. The function f(x)=int(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local ...

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  12. Radius of the circle x^2+y^2+2x costheta+2y sin theta-8=0 is 1 2. 3...

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  13. Number of solutions of the equation t a n x+s e c x=2cos x lying in th...

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  14. Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3), where f(x) is an increasing di...

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  15. The mean of 11 items overline(X). If first item is increased by 1, sec...

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  16. Let mean of 100 data points be 55 and variance be 16. Now if every ...

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  17. underset(xto0)(lim)(ln(2+x^(2))-ln(2-x^(2)))/(x^(2)) is equal to

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  18. If function y=f(x) has only two points of discontinuity say x1,x2, whe...

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  19. Number of solutions of the equation e(k-xlnx)=1 for kepsilon(0,(1)/(e)...

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  20. If alpha is the only positive root of (2^(2014)-1)x^2+(2-2^(2014))x-1=...

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