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If sin^-1x+sin^-1y+sin^-1z=pi then x^4+y...

If `sin^-1x+sin^-1y+sin^-1z=pi` then `x^4+y^4+z^4+4x^2y^2z^2`=

A

1

B

2

C

4

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 2: (CONCEPT APPLICATOR)
  1. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

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  2. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then

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  3. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

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  4. If 1/2"sin"^(-1)(2x)/(1+x^2)+1/2"cos"^(-1)(1-y^2)/(1+y^2)+1/3"tan"^(-1...

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  5. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...

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  6. If A="tan"^(-1)((xsqrt3)/(2K-x)) and B="tan"^(-1)((2x-K)/(Ksqrt3)), th...

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  7. If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and g(x)=cos^(-1)((1-x^2)/(1+x^2)...

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  8. Find x satisfying [tan^(-1)x]+[cos^(-1)x]=2, where [] represents the g...

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  9. Evaluate underset(xto-1^(+))lim(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

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  10. The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)...

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  11. The minimum integral value of alpha for which the quadratic equation (...

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  12. If the equation x^3+b x^2+c x+1=0,(b<c), has only one real rootalpha ,...

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  13. Total number of ordered pairs (x, y) satisfying |y| = cos x and y = s...

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  14. The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all...

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  15. If sin^-1x+sin^-1y+sin^-1z=pi then x^4+y^4+z^4+4x^2y^2z^2=

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  16. Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A)

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  17. Find the number of positive integral solution of the equation tan^(-1)...

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  18. If cos^(-1)x//2+cos^(-1) y//3=theta," prove that "9x^(2)-12xy cos thet...

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  19. If "sin"^(-1)x+"sin"^(-1)y=pi/2, then (1+x^4+y^4)/(x^2-x^2y^2+y^2) is ...

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  20. If sin^(-1)(a-a^2/3+a^3/9-...)+cos^(-1)(1+b+b^2+...)=pi/2 then find a ...

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