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If sec^(-1)x = cosec^(-1)y state which o...

If `sec^(-1)x` = `cosec^(-1)y` state which of the following is the value of `(cos^(-1)(1/x) + cos^(-1)(1/y))`?

A

`pi`

B

`(2 pi)/3`

C

`(5 pi)/3`

D

`pi/2`

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UNITED BOOK HOUSE-SET 14-EXERCISE
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  2. If sec^(-1)x = cosec^(-1)y state which of the following is the value o...

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  3. If A = [a(ij)] is a 2 xx2 matrix such that a(ij)=i+2j, then A will be

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  4. The greatest integer fuction f(x) = [x] is

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  5. The value of int e^(5logx)dx is

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  6. The slope of the tangent to the curve xy=c^2 at (ct,c/t)is

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  7. hati + 2 hatj and -hati +mhatj are given as collinear vectors, then th...

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  8. The line joining the points (1,1,2) and (3,-2,1)meets the plane 3x + 2...

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  9. If the odds in favour of an event are 9:4, then its probability of occ...

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  10. The S.D. of a binomial distribution with parameteres n and p is

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  11. Let S = N xx Nand ast is a binary operation on S defined by (a,b)^**(c...

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  12. Prove that, 2 sin^(-1)x = sin^(-1) (2x sqrt (1-x^2))

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  13. prove without expanding, |[(a-b),1,a],[b-c,1,b],[c-a,1,c]|=|[a,1,b],[b...

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  14. If two matrices A and B of orders 2 xxm and 3xxn respectively are conf...

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  15. Evaluate:underset(xrarr0)lim log(1 + alphax)/(sin betax)

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  16. If y = logxtanx, find (dy)/(dx).

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  17. overset(pi//2)underset(-pi//2)int |sin x|dx =

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  18. Form the diffential equation of family of parabolas having vertex at t...

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  19. If f(x) = (x-1)e^x + 1, show that f(x) is positive for all positive va...

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  20. Using direction ratios show that the points (2,6,3),(1,2,7) and (3,10,...

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