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If p = (3)/(4) + (3.5)/( 4. 8) + ( 3.5.7...

If `p = (3)/(4) + (3.5)/( 4. 8) + ( 3.5.7)/(4.8.12) + ... oo , ` find `p ^(2) + 2p - 4.`

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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 124 -MATHEMATICS
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  6. Find the value of int (0) ^( 2pi) sin ^(4) x dx

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  7. An arc of a bridge is semi-elliptical with major axis horizontal. If t...

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  8. Suppose L be the line which lies in the family of straight lines ( a...

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  9. If (dy)/(dx) = ( xy)/( x ^(2) + y ^(2)) , y (1) = 1 and y (x (0)) = e,...

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  10. If the quadratic equations k ( 6x ^(2) + 3) + rx + 2x ^(2) - 1 = 0 a...

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  11. If p = (3)/(4) + (3.5)/( 4. 8) + ( 3.5.7)/(4.8.12) + ... oo , find p ...

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  12. If one of the roots of the equation 6x ^(2) + kx + 6 = 0, k gt 0, is s...

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  15. Evaluate lim ( x to 0) ( x tan 2x - 2x tan x )/( (1 - cos 2x ) ^(2))

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  16. If int (dx)/(5 + 4 cos x ) = (m)/(n) Arc tan [ (p)/(q) (g ((x)/(2))) ]...

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  17. The area bounded by the curves y = ln x, y = ln |x|, y = | ln x| and...

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  18. If tan ^(-1) ((1)/(2)) + tan ^(-1) ((2)/(3x)) + tan ^(-1) ((3)/(4)) = ...

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  19. A circle touching both the coordinates axes, having centre in the firs...

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  20. Two teams A and B have the same mean and their coefficients of variati...

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