Home
Class 11
MATHS
If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z)...

If `x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),` then `x ,y ,a n dz` are in a. H.P. b. A.P. c. G.P. d. None of These

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these

If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ,tanz are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

If x ,y ,a n dz are distinct prime numbers, then (a). x , y , a n dz may be in A.P. but not in G.P. (b) x , y , a n dz may be in G.P. but not in A.P. (c). x , y , a n dz can neither be in A.P. nor in G.P. (d).none of these

The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a. -1 b. 0 c. 1 d. none of these

If x ,y , and z are in G.P. and x+3,y+3 , and z+3 are in H.P., then a. y=2 b. y=3 c. y=1 d. y=0

If a, b, c are in G.P. and a^(1/x) =b^(1/y)=c^(1/z) , prove that x, y , x are in A.P

If x ,y and z are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2x y ,then u is always (a). non-negative b. zero c. non-positive d. none of these

Given a=x//(y-z), b=y//(z-x), and c=z//(x-y),w h e r e .x , y and z are not all zero, then the value of a b+b c+c a is a. 0 b. 1 c. -1"" d. none of these

If a, b, c are in G.P. and a^(1//x) = b^(1//y) = c^(1//z) , show that x, y, z are in A.P.

Given that x+y+z=15 when a ,x ,y ,z ,b are in A.P. and 1/x+1/y+1/z=5/3w h e na ,x ,y ,z ,b are in H.P. Then (i) G.M. of a and b is 3 (ii) One possible value of a+2b is 11 (iii) A.M. of a and b is 6 (iv) Greatest value of a-b is 8

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If the sum of the first 14 terms of an AP is 1050 and its first term i...

    Text Solution

    |

  2. The next term of the G.P. x ,x^2+2,a n dx^3+10 is (729)/(16) b. 6 c. 0...

    Text Solution

    |

  3. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

    Text Solution

    |

  4. If the sum of n terms of an A.P. is given by Sn=a+b n+c n^2, w h e r ...

    Text Solution

    |

  5. Find the sum of 20th term of the A.P (x+y), (x-y), (x-3y), ....

    Text Solution

    |

  6. Find the sum of the series 2+5+8+11+.....+191

    Text Solution

    |

  7. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

    Text Solution

    |

  8. If n >1 , the value of the positive integer m for which n^m+1 divides ...

    Text Solution

    |

  9. For an increasing A.P. a1, a2, an ifa1+a3+a5=-12 and a1a3a5=80 , then...

    Text Solution

    |

  10. If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...

    Text Solution

    |

  11. Find the sum of all even integers between 101 and 199.

    Text Solution

    |

  12. Match the statements/expressions given in column I with the values g...

    Text Solution

    |

  13. Prove that 1+i^2+i^4+i^6 =0

    Text Solution

    |

  14. if a ,b ,c are in G.P.,then (log)a 10 ,(log)b10,(log)c 10 are in

    Text Solution

    |

  15. The 15th term of the series 2 1/2+1 7/(13)+1 1/9+(20)/(23)+.... i s (...

    Text Solution

    |

  16. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

    Text Solution

    |

  17. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

    Text Solution

    |

  18. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

    Text Solution

    |

  19. Find the conjugate of the following: sqrt (-3)

    Text Solution

    |

  20. The x=1111....1 of 91 times of is a (a) Even number. (b) Prime numbe...

    Text Solution

    |