Home
Class 12
MATHS
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))= ( 4xyz)/( ( 1-x^(2))( 1-y^(2)) ( 1-z^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
T
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (6) FILL IN THE BLANKS|1 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING EXNTRIES)|6 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (6) ( MULTIPLE CHOICE QUESTIONS)|41 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If xy+yz+xz=1, then prove that (x)/(1-x^(2))+(y)/(1-y^(2))+(z)/(1-z^(2))=(4xyz)/((1-x^(2))(1-y^(2))(1-z^(2)))

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

If x+y+z = xyz , then ( 2x )/( 1-x^(2)) + ( 2y )/( 1-y^(2)) + ( 2z )/( 1-z^(2)) = ( 2x )/( 1-x^(2)). ( 2y )/( 1-y^(2)). ( 2z )/( 1-z^(2))

If xy + yz + zx = 1 , show that x/(1-x^(2)) +y/(1-y^(2)) + z/(1-z^(2))= (4xyz)/((1-x^(2))(1-y^(2)) (1-z^(2)))

If xy+yz+zx=1 show that (x)/(1-x^(2))+(y)/(1-y^(2))+(z)/(1-z^(2))=(4xyz)/((1-x^(2))(1-y^(2))(1-z^(2)))

If x+y+z=xyz then show that (2x)/(1-x^(2))+(2y)/(1-y^(2))+(2z)/(1-z^(2))=(8xyz)/((1-x^(2))(1-y^(2))(1-z^(2)))

If xy + yz + zx = 1 , show that x/(1-x^(2)) +y/(1-y^(2)) + z/(1-z^(2))= 4xyz/((1-x^(2))(1-y^(2)) (1-z^(2)))

If x+y+z=xyz, then value of (x)/(1-x^(2))+(y)/(1-y^(2))+(z)/(1-z^(2))(x)/(1-x^(2))(y)/(1-y^(2))(z)/(1-z^(2))

If x+y+z=xyz prove that (2x)/(1-x^(2))+(2y)/(1-y^(2))+(2z)/(1-z^(2))=(2x)/(1-x^(2))(2y)/(1-y^(2))(2z)/(1-z^(2))

xy+yz+zx=1rArr(x)/(1+x^(2))+(y)/(1+y^(2))+(z)/(1+z^(2))=

Home
Profile