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sec^(-1)"" x/a-sec^(-1)"" x/b=sec^(-1) b...

`sec^(-1)"" x/a-sec^(-1)"" x/b=sec^(-1) b-sec^(-1) a, " then " x=`

A

a

B

b

C

ab

D

1

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The correct Answer is:
C
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
  1. If tan^(-1) x+tan^(-1) ""1/2 = pi/4 , " then " x=

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  2. tan^(-1) 2x+tan^(-1) 3x=npi+(3pi)/4 , " then " x=

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  3. sec^(-1)"" x/a-sec^(-1)"" x/b=sec^(-1) b-sec^(-1) a, " then " x=

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  4. If tan^(-1)(a/x) + tan^(-1)(b/x) = pi/2, then: x=……

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  5. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

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  6. If sin^(-1)"" x/5 + cosec^(-1)"" 5/4 = pi/2 " then " x=

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  7. If cos(2sin^(-1)x)=1/9 , " then " x=

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

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  9. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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  10. If cos^(-1)x gt sin^(-1) x, then

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  11. If x^2+y^2+z^2=r^2, " then " tan^(-1) ""(xy)/(zr)+tan^(-1) ""(yz)/(xr)...

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

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

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

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

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

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

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

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

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

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