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The value of underset(x rarr0)limsqrt((1...

The value of `underset(x rarr0)limsqrt((1)/(2)(1-cos2x))/(x)` is

A

1

B

-1

C

0

D

none of these

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The correct Answer is:
D
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER - 8-MATHEMATICS
  1. If vecp = veca - vecb , vecq = vec a + vec b and |veca| = |vecb| = 2 ...

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  2. Let a = hat I + hatj +hatk, vec b = hati-hatj+hatk and c be a unit vec...

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  3. The value of underset(x rarr0)limsqrt((1)/(2)(1-cos2x))/(x) is

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  4. If f (x) =((x^(2)+5x+3^(x))/(x^(2)+x+2)) then underset(x rarroo)limf(x...

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  5. If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))),then (dy)/(dx) is

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  6. The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2...

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  7. The abscissa of the point on the curve ay^(2)=x^(3), the normal at whi...

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  8. If y = a logx + bx^(2) + x has its extremum value at x = -1 and x = 2,...

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  9. int (1)/((1+x^(2))sqrt(1-x^(2)))dx is equal to

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  10. int(sqrt(tanx))/(sin x cos x)dx is equal to

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  11. The value of the integral underset(0)overset(1)int(1)/(x^(2)+2x cos al...

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  12. The order and degree of the differential equation rho=[1+((dy)/(dx))^(...

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  13. The equation of a curve passing through (2, 7//2) and having gradient ...

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  14. In the group G = {2, 4, 6, 8} under multiplication modulo 10, the iden...

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  15. If a, b are positive integers, define a^(**)b = alpha where ab -= alph...

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  16. Z is the set of integers, (Z, **) is a group with a ** b = 1 + b + 1, ...

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  17. Let G denote the set of all n xx n non-singular matrices with rational...

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  18. In the group G = { 1, 2, 3, 4, 5 } under addition modulo 6, (3 + 5^(-1...

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  19. If (G, ^(**)) is a group such that a ^(**)b=b^**a for two element a an...

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  20. The value of theta (0 lt theta lt 360^(@)) satisfying cosec theta + 2 ...

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