Home
Class 11
MATHS
If x^2+y^2+z^2=1, then xy + yz + zx lies...

If `x^2+y^2+z^2=1`, then xy + yz + zx lies in

A

[-1/2,1]

B

[1/2,1]

C

[-1/2,-1]

D

[1/2,-1]

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

If x^2+y^2+z^2= xy+yz+zx then find the value of (x+y):z.

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

Let's find the L.C.M of the following algebraic expressions. x^2 + y^2 - z^2 - 2xy , x^2 - y^2 - z^2 + 2yz, xy + zx + y^2 - z^2

If abs(z^2-1)=absz^2+1 , then z lies on

. Ifx y+y z+z y=1,w h e r ex , y , z in R^+ , then x/(1+x^2)+y/(1+y^2)+z/(1+z^2)=2/(sqrt((1+x^2)(1+y^2)(1+z^2)))

Factorise 4x ^(2) + 9y ^(2) + 25 z ^(2) - 12 xy - 30 yz + 20 zx

Let's find value of : (x - y)a + (y - z) b + (z -x)c if a = x^2 + xy + y^2,b = y^2 + yz + z^2, c = z^2 + zx + x^2

If x/y = y/z , then simplify (xyz ( x + y + z)^(3))/((xy+yz+zx)^(3)) .

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

If r^2 = x^2 + y^2 + z^2 , then prove that tan^(-1)((yz)/(rx))+tan^(-1)((zx)/(ry))+tan^(-1)((xy)/(rz))=pi/2

PATHFINDER-FUNCTION-QUESTION BANK
  1. The range of function f(x)=sqrt("^(x^2+4x)C(2x^2+3)

    Text Solution

    |

  2. Let n be a natural number. Then the range of the function f(n)=^(8-n)P...

    Text Solution

    |

  3. If x^2+y^2+z^2=1, then xy + yz + zx lies in

    Text Solution

    |

  4. The range of the function f(x)=sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

    Text Solution

    |

  5. The range of the function f(x)=sqrt(3x^2-4x+5) is

    Text Solution

    |

  6. If the graph of the function f(x)=(a^x-1)/(x^n(a^x+1)) is symmetric ab...

    Text Solution

    |

  7. If the graph of the function f(x) is symmetrical about x = 20 then

    Text Solution

    |

  8. If f is even function defined on the interval (-5, 5), then real value...

    Text Solution

    |

  9. Which of the following function is even function

    Text Solution

    |

  10. If f(x) and g(x) be two given function with all real numbers as their ...

    Text Solution

    |

  11. Period of f(x)=[x]+[x+1/3]+[x+2/3]-3x+10, where [.] denotes the greate...

    Text Solution

    |

  12. The function f(x)=1/2{|sin x|/cos x +sin x/|cos x|} is periodic with p...

    Text Solution

    |

  13. The value of n in 1, for which the function f(x)=(sin nx)/(sin frac xn...

    Text Solution

    |

  14. If f(x) = is an odd periodic function with period 2, then f(4) equals

    Text Solution

    |

  15. Period of f(x)=cos2pi{x} is , where {x} denote the fractional part of ...

    Text Solution

    |

  16. The period of sin((pi{x})/12)+cos((pi x)/8)+tan((pi{x})/3)

    Text Solution

    |

  17. Let f : (4, 6)to(6, 8) be a function defined by f(x) x+[x/2] (where [....

    Text Solution

    |

  18. The value of b and c for which the identity f(x+1)-f(x)=8x+3 is satisf...

    Text Solution

    |

  19. If f(x)=sin sqrt([a])x, (where [.] denotes the greatest integer functi...

    Text Solution

    |

  20. If f : R to [-1, 1], where f(x)=sin(pi/2[x]) (where [.] denotes the gr...

    Text Solution

    |