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The value of lim(x->0) cosec^4 x int0^(x...

The value of `lim_(x->0) cosec^4 x int_0^(x^2) (ln(1 +4t))/(t^2+1) dt` is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. cos(10^0)dot(cos 20^0)dotcos(40^0)= " " " " " " " " " " " " " " " " " ...

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  2. intn^(n+1)f(x) dx=n^2+n then int(-1)^1 f(x) dx =

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  3. The value of lim(x->0) cosec^4 x int0^(x^2) (ln(1 +4t))/(t^2+1) dt is

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  4. A box contains 20 identical balls of which 5 are white and 15 black....

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  5. For three square matrix A ,B ,&CifA B C=O&|A|!=0, is non-zero singular...

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  6. Let a ,b ,cR0 and each of the quadratic equations in x ,x^2+2(a^2+b...

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  7. vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j- hat k , vec c= hat...

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  8. lim(xrarr2)(x^3-8)/(sin(x-2))

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  9. The lines (x-2)/(1) = (y-3)/(1) =(z-4)/(-k) and (x-3)/(k)=(y-4)/(1) = ...

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  10. int0^(pi/2)sin4xcotx dx is equal to -pi/2 (2) 0 (3) pi/2 (4) pi

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  11. A rack has 5 different pairs of shoes. The number of ways in which 4 s...

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  12. If f(x)=-x^(3)-3x^(2)-2x+a,a in R then the real values of x satisfying...

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  13. Find x satisfying [tan^(-1) x] + [cot^(-1) x] = 2, where [.] represent...

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  14. Statement-1: The common chord of the circles x^2+y^2-10 x+16=0a n dx^2...

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  15. The ellipse with equation (x^2)/9+(y^2)/4=1 is rotated countercl...

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  16. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  17. If f(x)=(|x-1)/(x^2) the f(x) is one-one in (2,oo) b. one-one in (0,1)...

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  18. Find the number of complex numbers which satisfies both the equations ...

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  19. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  20. If points (0,0,9),(1,1,8),(1,2,7)a n d(2,2,lambda) are coplanar, then ...

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