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If Sec^(-1)(x/a)-Sec^(-1)(x/b)=Sec^(-1)(...

If `Sec^(-1)(x/a)-Sec^(-1)(x/b)=Sec^(-1)(b)-Sec^(-1)(a)andaneb`, then x is equal to

A

ab

B

b/a

C

a/b

D

1/ab

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
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  2. If 1/2Sin^(-1)[(3Sin2theta)/(5+4cos2theta)]=Tan^(-1)x, then x =

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  3. If Sec^(-1)(x/a)-Sec^(-1)(x/b)=Sec^(-1)(b)-Sec^(-1)(a)andaneb, then x ...

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  4. If a=sin(Cot^(-1)x)andb=cot(Sin^(-1)x) where xgt0, then 1//x^(2)-x^(2)...

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  5. If Tan^(-1)2x+Tan^(-1)3x=pi//4, then x =

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  7. If Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//4 then x =

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  8. A solution of the equation Tan^(-1)(1+x)-Tan^(-1)(x-1)=pi//2 is

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  9. (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=5pi^(2)//8rArrx=

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  10. The arithmetic mean of the non-zero solutions of the equation "Tan"^...

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  14. If Sin^(-1)(tanpi//4)-Sin^(-1)sqrt(3//x)-pi//6=0, then x is a root of ...

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  15. If theta=Sin^(-1)x+Cos^(-1)x-Tan^(-1)x,0lexle1, then the smallest inte...

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  20. The domain of Sin^(-1)[log(2)(x^(2)//2)] is

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