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If A=tan^(-1)((x sqrt(3))/(2k-x)) and B=...

If `A=tan^(-1)((x sqrt(3))/(2k-x)) and B= tan^(-1)((2x-k)/(k sqrt(3)))`, then the value of `A-B` is :

A

`0^(@)`

B

`45^(@)`

C

`60^(@)`

D

`30^(@)`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. The value of sin[cot^(-1){cos(tan^(-1) x)}] is

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  2. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4ta...

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  3. If A=tan^(-1)((x sqrt(3))/(2k-x)) and B= tan^(-1)((2x-k)/(k sqrt(3))),...

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  4. Solve sin^(-1) x + sin^(-1) (1 - x) = cos^(-1) x

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  5. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

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  6. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

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  7. sin^(-1)(sin10) is a+bpi then |a+b| is

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  8. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is :

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  9. The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) p...

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  10. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

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  11. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (...

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  12. If a le 1/32 then the number of solution of (sin^(-1) x)^(3) +(cos^(...

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  13. If x takes negative permissible value then sin^(-1)x=

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  14. If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

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  15. If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

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  16. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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  17. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

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  18. If -1/2 le x le 1/2 then sin^(-1)3x-4x^(3) equals

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  19. If 1/2 le x le 1 then sin^(-1)3x-4x^(3) equals

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  20. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

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