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If [.] represents the greatest integer function, then the value of `|int_(0)^(sqrt((pi)/(2)))[[x^(2)]-cosx]dx|` is `"____________"`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION B)
  1. If the normal to the curve y (x) = int (0) ^(2) (2 t ^(2) - 15 t + 10)...

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  2. If lim (x to 0) (ae ^(x) - b cos x + ce ^(-x))/(x sin x) = 2, then a ...

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  3. If [.] represents the greatest integer function, then the value of |in...

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  4. The maximum value of z in the following equation z = 6xy + y^(2) , whe...

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  5. The minimum distance between any two points P(1) and P(2) while consid...

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  6. If A = [{:(2,3),(0,-1):}], then the value of det (A^(4)) | det ( A^(10...

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  7. If the function f(x) = ( cos ( sin x ) - cos x )/( x^(4)) is continuo...

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  8. If f(x) = sin ( cos ^(-1) ( ( 1- 2 ^(2x))/( 1+ 2^(2x)))) and its fist...

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  9. If the eqution of the plane passing through the line of intersection o...

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  10. If ( 2021)^(3762) is divided by 17, then the remainder is "".

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  11. If vec(a) = alpha hat(i) + beta hat(j)+ 3 hat(k), vec(b) = - beta ha...

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  12. Of the three independent event E(1),E(2) and E(3), the probability tha...

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  13. Let P be a plane containing the line (x-1)/3=(y+6)/4=(z+5)/2 and paral...

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  14. If underset(r=1)overset(10)sum r! (r^(3)+6r^(2)+2r+5)=alpha (11!), the...

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  15. Let the miror image of the point (1,3,a) with respect to the plane vec...

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  16. Let y=y(x) be the solution of the differential equation xdy-ydx =sqrt(...

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  17. Let P(x) be a real polynomial of degree 3 which vanishes at x=-3. Let ...

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  18. Let I be an identity matrix of order 2 xx 2 and P=[{:(,2,-1),(,5,-3):}...

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  19. The term independent of x in the expansion of [(x+1)/(x^(2/3)-x^(1/3)+...

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  20. If f(x) and g(x) are two polynomials such that the polynomial P(x)=f(x...

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