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The value of 12 sum (r =1) ^(oo) (( 12...

The value of
`12 sum _(r =1) ^(oo) (( 12 r ^(2) +1))/( ( 64 r ^(6) - 48 r ^(4) + 12 r ^(2) -1))` is :

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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 79-MATHEMATICS
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  2. If [x] denotes the integeral part of x and in (0,pi), we define f (x...

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  3. int x ^(2//3) (1 + x ^( 1//2)) ^( ( -13)/(3)) dx

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  4. Which of the following option represents positive quantity ?

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  5. Find the area bounded by the curve (y)/( sqrt ( 1 - x ^(2))) = x ^(2)

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  6. If cos ^(2) theta (1) + cos ^(2) theta (2) + cos ^(2) theta (3) = 0, t...

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  7. The value of cos (cos ^(-1) x + sin ^(-1)x ) at x = (1)/(3) is

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  8. If in the given data, the mean of square of deviation about 10 is 25. ...

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  9. The differential equation of the curve (x)/(a - 1) + (y)/(a +1) = 1 i...

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  10. The Sols of 8x = 6 [14] are

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  11. If sum ( r =1)^(100) r . (""^(100) C (r)) ^( 2) = 50. ""^(x) C (100), ...

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  12. Number of ways in which from a group of 6 men and 5 women M (1), M (...

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  13. If g (x) = ( 4 cos ^(4) x - 2 cos 2x - (1)/(2) cos 4x - x ^(7)) ^((1)/...

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  14. The value of 12 sum (r =1) ^(oo) (( 12 r ^(2) +1))/( ( 64 r ^(6) - 4...

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  15. In Delta ABC, a point P is chosen on side vec(AB) so that AP : PB =1:...

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  16. If omega imaginary cube root of unity then the value of (|3 omega - 2 ...

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  17. Let y (n) = (1)/(n) (( n +1) ( n+2). ..( n +n)) ^((1)/(n )) for each ...

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  18. A vartiable circle always touches the line x + y -2 = 0 at (1,1) and...

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  19. If G is the centroid of Delta ABC and G' is the centroid of the Delta ...

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  20. Find the number of real values of m for which A uu B has exactly 3 dis...

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