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Let int(10lnx)/(x^(2))dx=f(x), for all p...

Let `int(10lnx)/(x^(2))dx=f(x),` for all positive x. If `f(e )=(1)/(e )`, then `f(2)+f(4)` is equal to

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NTA MOCK TESTS-NTA JEE MOCK TEST 106-MATHEMATICS
  1. Consider the statement p : If a cylinder is right circular cylinder th...

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  2. Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

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  3. Let int(10lnx)/(x^(2))dx=f(x), for all positive x. If f(e )=(1)/(e ), ...

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  4. If f(x)=x^(2)+(x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+…… upto, oo, t...

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  5. The area (in square units) bounded byy=x^(2)+x+1 and x+y=2 is

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  6. Suppose cos^(2)y.(dy)/(dx)=sin(x+y)+sin(x-y), |x| le (pi)/(2) and |y|l...

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  7. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

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  8. If a number of ellipse whose major axis is x - axis and the minor axis...

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  9. Find the set of all values of a for which the roots of the equation x^...

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  10. Let F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(2k))(1+sin(2k+1)pi/(2k))(1+sin...

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  11. Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...

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  12. Let veca=(cos theta)hati-(sin theta)hatj, vecb=(sin theta)hati+(cos th...

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  13. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  14. A line is drawn from the point P(1, 1, 1) and perpendicular to a line ...

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  15. If alpha,beta,gamma are the roots of p x^2+q x^2+r=0, then the value o...

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  16. If f(x)=sin^(-1)""(2*(3)^(x))/(1+9^(x)), then f'(-(1)/(2)) is equal to

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  17. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

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  18. The number of ways in which four different letters can be put in their...

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  19. The maximum number of points on the parabola y^(2)=16x which re equidi...

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  20. The slope of the tangent to the curve y=x^(3)+x+54 which also passes t...

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