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What will be the remainder of `(2021)^(2023) div 7`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If a biased coin is tossed 5 times and if the probability getting 4 he...

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  2. lim(x to 1/sqrt2) (sin(cos^-1x)-x)/(1-tan(cos^-1x))

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  3. What will be the remainder of (2021)^(2023) div 7

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  4. abs(adj(24A))=abs(adj 2 (adj3A)) If A is 3xx3 matrix then the value of...

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  5. The vertex of an equilateral triangle is (3,7) and equation of opposit...

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  6. From a group of 10 boys B1 , B2 . . . B10 and G1 , G2,. . . ,G5 the nu...

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  7. If the mean of 5 elements "a,b,8,5,10" is 6 and variance is 6.8 and me...

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  8. If x/a+y/b=2 is tangent to the curve (x/a)^n+(y/b)^n=2 at (a,b) , n in...

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  9. f(x)= Max {abs(x+1),abs(x+2),abs(x+3),abs(x+4),abs(x+5)} find int(-6)^...

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  10. Area bounded by y=abs(x^2-9) and y=3

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  11. Normal to y^2=6x at P , passes through (5,-8). Find ordinate of point ...

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  12. A=sum(i=1)^10 sum(j=1)^10 min{i,j} & B=sum(i=1)^10 sum(j=1)^10 max {i,...

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  13. If A={x:HCF {x,45}=1} & B={x=2k , 1 le k le 100} then AnnB=

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  14. f(x)=(x+1)/(x-1) f^(n+1)(x)=f(f^n(x)) the the value of f^7(7)+f^6(6) i...

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  15. If veca*vecb=1 , vecb*vecc=2 & vecc*veca=3 then [(veca xx(vecb xx vecc...

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  16. If sin^2 10^@ xx sin 20^@ xx sin 40^@ xx sin 50^@ xx sin 70^@ = alpha ...

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  17. 48/(pi^4) int0^pi ((3pi)/2x^2-x^3)sinx/(1+cos^2x)dx

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  18. Sum of the cube of the roots of the equation x^4-3x^3-2x^2+3x+1=0 is e...

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  19. If f(x)=2cos^-1x+4cot^-1x-3x^2-2x+10 the range of f(x) is [a,b] then t...

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  20. Let common tangent to x^2+y^2=9/4 and y^2=4x meets x-axis at point Q ....

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