Home
Class 14
MATHS
If p^(2)+q^(2)+r^(2)=1, then the maximum...

If `p^(2)+q^(2)+r^(2)=1`, then the maximum vlaue of pqr is :

A

1

B

`1/3sqrt3`

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    QUANTUM CAT|Exercise QUESTION BANK|196 Videos

  • GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|547 Videos

Similar Questions

Explore conceptually related problems

If p and q are two quantities such that p^(2) +q^(2) =1 , then maximum value of p + q is

If p and q are positive real numbers such that p^(2)+q^(2)=1 then find the maximum value of (p+q)

if p and q are positive real numbers such that p^(2)+q^(2)=1 then find the maximum value of (p+q)

If p and q are positive real numbers such that p^2+""q^2=""1 , then the maximum value of (p""+""q) is (1) 2 (2) 1/2 (3) 1/(sqrt(2)) (4) sqrt(2)

If p and q are positive real numbers such that p^2+q^2=1 , then the maximum value of p+q is

If 2p+3q+4r=15, the maximum value of p^(3)q^(5)r^(7) will be

If a^(p)=b^(q)=c^(r)=abc, then pqr=

The points P Q R with eccentric angles theta, theta+alpha, theta+2 alpha are taken on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then if area of triangle PQR is maximum then alpha =

p, q and r are three non-negative integers such that p+q+r=10 . The maximum value of pq+qr+pr+pqr is

QUANTUM CAT-FUNCTIONS AND GRAPHS-QUESTION BANK
  1. If f(x) is an even function of x and g(x) is an odd function then whic...

    Text Solution

    |

  2. If y=" min "(x^(2)+2, 6-3x), then the greatest value of y for x gt0

    Text Solution

    |

  3. If p^(2)+q^(2)+r^(2)=1, then the maximum vlaue of pqr is :

    Text Solution

    |

  4. find the value of f(5), if f ( x ) = 3 x^2 − 4x ?

    Text Solution

    |

  5. Find the value of f ( f ( − 3 ) ) , if f ( x ) = (x+1)/ x

    Text Solution

    |

  6. Ramesh bought a chair for Rs. 1540 and sold it to Suresh. If Ramesh ea...

    Text Solution

    |

  7. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  8. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  9. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  10. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  11. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  12. What is the maximum possible value of xy, where |x+5|-1=0 and y=9-|x-4...

    Text Solution

    |

  13. For real x,y such that f(x) ne 0, if f(x+y) = f(x).f(y), what's the va...

    Text Solution

    |

  14. Suresh bought a cell phone from a shop. If he sells it at Rs. 8400 to ...

    Text Solution

    |

  15. Let a function is defined as f(x)=(a^(x)+a^(-x))/(2), a gt 0, what is ...

    Text Solution

    |

  16. If |(30-x)/(3)|lt4, then find x

    Text Solution

    |

  17. Let f(x, y)=|x+y| and g(x, y)=|x-y|, then how many ordered pairs of th...

    Text Solution

    |

  18. What is the value of x if |x-1|+|x|=2:

    Text Solution

    |

  19. Which of the following graph represents e^(-x)?

    Text Solution

    |

  20. Which of the following graph represents e^(-x)?

    Text Solution

    |