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If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=p...

If `tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2=` `2sqrt(3)a` (b) `sqrt(3)a` (c) `2sqrt(3)a^2` (d) none of these

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Column I, Column II sin^(-1)(4/5)+2tan^(-1)(1/3)= , p. pi/6; sin^(-...

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  2. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

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  3. If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2= 2sqrt(3)a (b) ...

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  4. The value of k(k &gt;0) such that the length of the longest interval ...

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  5. Which of the following pairs of function/functions has same graph? y=...

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  6. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, then the possible values of n i...

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  7. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

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  8. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

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  9. Indicate the relation which can hold in their respective domain for ...

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  10. If x&lt;0,t h e ntan^(-1)x is equal to

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  11. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1) (6/x ) then the value of x...

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  12. If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(...

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  13. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n prove t h a t x^2+y^2+z^...

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  14. If alpha in (0,pi/2) , then the value of tan^(-1)(cotalpha)-cot^(-1)(t...

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  15. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,when (a) x in (-pi/2,(...

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  16. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

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  17. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

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  18. Complete solution set of tan^2(sin^(-1)x)&gt;1 is (a)(-1,-1/(sqrt(2)...

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  19. The value of sin^(-1)(sin12)+cos^(-1)(cos12)=

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  20. The range of the values of p for which the equation sin cos^(-1) ( co...

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