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Assertion (A) : The value of "tan"^(-1)...

Assertion (A) : The value of `"tan"^(-1)+"tan"^(-1)3=(3pi)/(4)`
Reason (R) : If `x gt 0, y gt , 0, xy gt 1` then `tan^(-1)x+tan^(-1)y=pi +tan^(-1)((x+y)/(1-xy))`

A

Both A and R are true and R is correct explanation of A

B

Both A and R are true but R is not the correct explanation of A

C

A is false, R is true

D

A is true, R is false

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The correct Answer is:
A
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The following questions consist of two statements, one labelled as 'Statement I' and the other 'Statement II'. You have to examine these two statements carefully and decide if the Statement I and the Statement II, are individually true and if so, whether the Statement II is the correct explanation for the given Statement I. Select your answer to these items using the codes given below and then select the correct option. Statement-1 : The value of tan^(-1)2+tan^(-1)3=(3pi)/4 Statement-2 : If x gt 0, y gt 0, xy gt 1" then "tan^(-1)x+tan^(-1)y=pi+tan^(-1)((x+y)/(1-xy))

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AAKASH SERIES-REVISION EXERCISE-INVERSE TRIGONOMETRIC FUNCTIONS
  1. Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x is

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  2. Value of underset(n rarr infty )(Lim) sum(r = 1)^(n) Tan^(-1) ((1)/(2r...

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  3. sum(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=

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  4. If sin^(-1)(x-(x^2)/(2)+(x^3)/(4)-...infty)+cos^(-1)(x^2-(x^4)/(2)+(x^...

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  5. If a(1),a(2),a(3),...a(n) are in A.P. with common difference d, then t...

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  6. The number of solution of the equation Tan^(-1) sqrt(x^(2)+x)+"Cosec"^...

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  7. The number of real solutions of Tan^(-1)sqrt(x(x+1))+Sin^(-1)sqrt(x^(2...

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  8. If x(1),x(2),x(3) are the roots of x^(3)-6x^(2)+11x-6=0 then cot^(-1)(...

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  9. If A=Tan^(-1)((1)/(7)), B=Cot^(-1)(3) then

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  10. Cot^(-1)(sqrt(Cos alpha))-Tan^(-1)( sqrt(Cos alpha))=x then Sinx=

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  11. If 1/2 le x le 1, then cos^(-1)x+cos^(-1)(x/2+1/2sqrt(3-3x^2)) is equ...

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  12. cos^(-1) sqrt((a-x)/(a-b))= sin^(-1) sqrt((x-b)/(a-b)) is possible if

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  13. The value of lim(|x| to oo) cos(tan^(-1)(sin(tan^(-1)x))) is equal to

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  14. If p gt q gt r gt 0 then sum Cot^(-1)((pq+1)/(p-q))=

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  15. If 0 le x le1 and theta=Sin^(-1) x +Cos^(-1) x-Tan^(-1)x then

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  16. 2"Tan"^(-1)(1)/(5)+"Sec"^(-1)(5 sqrt(2))/(7)+"Tan"^(-1)(1)/(8)=

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  17. If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......

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  18. If x=tan^(-1)(1)+cos^(-1)(-1//2)+sin^(-1)(-1//2) and y=cos[1//2 cos^(-...

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  19. Assertion (A) : sin^(-1)(sin3)=3 Reason (R) : For principal values s...

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  20. Assertion (A) : The value of "tan"^(-1)+"tan"^(-1)3=(3pi)/(4) Reaso...

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