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lim(x to pi/2) tan^2x((2sin^2x+4sinx+3)^...

`lim_(x to pi/2) tan^2x((2sin^2x+4sinx+3)^(1/2)-(sin^2x+6sinx+2)^(1/2))`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If bn=int0^(pi/2) (cos^2nx)/sinx dx then

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  2. The system of equations -kx+3y-14z=25 -15x+4y-kz=3 -4x+y+3z=4 is cons...

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  3. lim(x to pi/2) tan^2x((2sin^2x+4sinx+3)^(1/2)-(sin^2x+6sinx+2)^(1/2))

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  4. If mean deviation about mean is (5(n+1))/n of data 1,2,3,4....n wher...

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  5. A circle touches the y-axis and the line x+y=0. then the locus of its...

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  6. Equation of tangent at P on parabola y=x-x^2 is y=4+kx, k gt 0 and V i...

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  7. Hyperbola x^2/a^2-y^2/b^2=2 has eccentricity 5/4. If normal to the hyp...

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  8. If m and n are respectively the local maximuma and local minima of f(x...

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  9. If a biased coin is tossed 5 times and if the probability getting 4 he...

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

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

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

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

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

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

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  16. 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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  17. 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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  18. Area bounded by y=abs(x^2-9) and y=3

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

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  20. 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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