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If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^...

If `sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then " (x,y)=`

A

`(1,1)`

B

`(1/2,1)`

C

`(1, 1/2)`

D

`(1/3 , 1/3)`

Text Solution

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The correct Answer is:
B
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
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  3. If cos^(-1)x gt sin^(-1) x, then

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  5. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  6. If xy +yz+zx=1 then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  7. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

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  8. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

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  9. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

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  10. If (sin^(-1)x)^(2)+(cos^(-1)x)^(2)=(5pi^(2))/(8) then x =

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  11. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  12. If tan(x+y)=33, and x= tan^(-1)3, then: y=

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  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 then the value of x^(100)+y^(...

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  14. a^3/2 cosec^2(1/2 tan^(-1)""a/b)+b^3/2 sec^2(1/2tan^(-1)""b/a) is equa...

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  15. The number of the + ive integral solutions of tan^(-1)x+cos^(-1) "" y/...

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  16. If x1 , x2 , x3 , x4 are roots of equation x^4-x^3 sin 2beta+x^2 cos 2...

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  17. lim(nto oo) overset(n)underset(r=1)Sigma tan^(-1)(1/(2r^2)) is equal t...

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  18. If ci >0 for i=1,\ 2,\ ,\ n , prove that tan^(-1)((c1x-y)/(c1y+x))+t...

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  19. If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then...

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  20. If tan^(-1) ""1/4 + 2 tan^(-1)"" 1/5+tan^(-1)"" 1/6 + tan^(-1) ""1/x=p...

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