Home
Class 14
MATHS
If x=ycos""(2pi)/(3)=zcos""(4pi)/(3), th...

If `x=ycos""(2pi)/(3)=zcos""(4pi)/(3)`, then `xy+yz+zx` is equal to

A

`-1`

B

1

C

0

D

2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise EXERCISES (Multiple Choice Questions)|350 Videos

  • TIME, SPEED & DISTNACE

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|108 Videos

Similar Questions

Explore conceptually related problems

If x=y cos((2 pi)/(3))=z cos((4 pi)/(3)), then xy+yz+zx=

If x=ycos((2pi)/(3))=zcos((4pi)/(3)) ,then what is xy + yz + zx equal to ?

If x=y cos backslash(2 pi)/(3)=z cos backslash(4 pi)/(3), then xy+yz+zx is equal to

If cos^(-1)x+cos^(-1)y+cos^(-1)z=3 pi, then xy+yz+zx is equal to

If tan ^(-1) x + tan ^(-1) y + tan ^(-1) z = (pi)/(2), then xy + yz+zx is equal to

If xcostheta=ycos(theta+(2pi)/(3))=zcos(theta+(4pi)/(3)) , then (1)/(x)+(1)/(y)+(1)/(z)=?

If x*cos theta=y*cos(theta+(2 pi)/(3))=2*cos(theta+(4 pi)/(3)) then evaluate xy+yz+zx

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. cos""(pi)/(15).cos""(2pi)/(15).cos""(4pi)/(15).cos""(8pi)/(15) is equa...

    Text Solution

    |

  2. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

    Text Solution

    |

  3. If x=ycos""(2pi)/(3)=zcos""(4pi)/(3), then xy+yz+zx is equal to

    Text Solution

    |

  4. If A,Bin(0,pi//2),sinA=(4)/(5)andcos(A+B)=-(12)/(13), then sinB=?

    Text Solution

    |

  5. If a sectheta+b tantheta=1anda^(2)sec^(2)theta-b^(2)tan^(2)theta=5, th...

    Text Solution

    |

  6. Prove that sin^(4) pi/8+ sin^(4) 3pi/8 + sin^(4) 5pi/8 + sin^(4) 7pi/8...

    Text Solution

    |

  7. If alpha is acute angle and 2sin^(2)alpha+15cos^(2)alpha=7, then cotal...

    Text Solution

    |

  8. If 3xsintheta+2ycostheta=4and2xsintheta-3ycostheta=2, then relation be...

    Text Solution

    |

  9. If sintheta+costheta=aandsectheta+cosectheta=b, then the value of b(a^...

    Text Solution

    |

  10. If a sectheta+b tantheta=1anda^(2)sec^(2)theta-b^(2)tan^(2)theta=5, th...

    Text Solution

    |

  11. If (sec^(4)alpha)/(sec^(2)beta)-(tan^(4)alpha)/(tan^(2)beta)=1 where a...

    Text Solution

    |

  12. If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1 then (c...

    Text Solution

    |

  13. 7cosectheta+24sectheta=25cosecthetasectheta, then costheta=?

    Text Solution

    |

  14. If 8sectheta+6cosectheta=20, then cottheta=?

    Text Solution

    |

  15. The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........

    Text Solution

    |

  16. cos15^(@)cos7""(1)/(2)""^(@).cos82""(1)/(2)""^(@)=?

    Text Solution

    |

  17. tan^(2)theta=1-e^(2), then sectheta+tan^(3)theta.cosectheta=?

    Text Solution

    |

  18. 3tanthetatanphi=1, then (cos(theta-phi))/(cos(theta+phi))=?

    Text Solution

    |

  19. tan20^(@)+tan40^(@)+sqrt(3)tan20^(@).tan40^(@)=?

    Text Solution

    |

  20. sin36^(@).sin72^(@).sin108^(@).sin144^(@)=?

    Text Solution

    |