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If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(...

If `xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=`

A

`(2)/(sqrt ( ( 1 + x ^(2)) (1 - y ^(2)) (1 - z ^(2))))`

B

`(2)/(sqrt ( ( 1 - x ^(2)) (1 + y ^(2)) (1 -z ^(2))))`

C

`(2)/(sqrt ( ( 1 - x ^(2)) (1 + y ^(2)) (1 + z ^(2))))`

D

`(2)/(sqrt ( ( 1 - x ^(2)) (1 + y ^(2)) (91 + z ^(2))))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-TRANSFORMATIONS -PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)
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  2. x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=

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  3. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

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  4. The value of cos ^(2) 10^(@) cos 50^(@) + cos ^(2) 50^(@) is equal to

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  5. If x,y,z are non zero real numbers and if x cos theta=y cos (theta+(2p...

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  6. The value of sin ^(3) 10^(@) + sin ^(3) 50^(@) - sin ^(3) 70^(@) is eq...

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  7. cot 16^(@) cot 44^(@) + cot 44^(@) cot 76^(@) - cot 76^(@) cot 16^(@)=

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  8. The value of cot 70^(@) + 4 cos 70^(@) is

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  9. cosec ""(360^(@))/(7) + cosec "" (540^(@))/(7)=

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  10. Which of the following is not the value of sin 27^(@) - cos 27^(@) ?

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  11. sin "" (pi)/(14) .sin "" (3pi)/(14).sin"" (5pi)/(14).sin""(7pi)/(14).s...

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  12. Value of ( 3 + cot 80^(@) cot 20^(@))/(cot 80^(@) cot 20 ^(@)) is equ...

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  13. In a Quadrilateral ABCD, cos A.cosB + sin C sin D=

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  14. tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) =

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  15. (sin ^(2) A - sin ^(2) B)/( sin A cos A - sin B cos B) is equal to

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  16. ( sin 3 theta + sin 5 theta + sin 7 theta + sin 9 theta)/( cos 3 thet...

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  17. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

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  18. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

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  19. (sin (n +1) A + 2 sin n A + sin (n-1) A)/( cos ( n -1) A - cos (n +1) ...

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  20. If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 t...

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  21. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

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