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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

  6. Which term of the AP 64, 60, 56, 52, 48 ,.... is 0 .

    Text Solution

    |

  7. Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement ...

    Text Solution

    |

  8. Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement...

    Text Solution

    |

  9. Find the nth term of the AP 8, 3, -2, -7, -12,....

    Text Solution

    |

  10. The sum of three consecutiveterms of an AP is 21, and the sum of the s...

    Text Solution

    |

  11. Let a1 , a2 , a3,.... be terms of an A.P. if (a1 + a2 +....+ ap)/(a1 +...

    Text Solution

    |

  12. Consider an A.P. a1, a2, a3,......... such that a3+a5+a8=11 and a4+a2...

    Text Solution

    |

  13. If the sum of n terms of an A.P is cn (n-1) where c ne 0 then find the...

    Text Solution

    |

  14. If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(...

    Text Solution

    |

  15. Find the sum of odd intergers from 1 to 201.

    Text Solution

    |

  16. If a1, a2, a3(a1>0) are three successive terms of a G.P. with common r...

    Text Solution

    |

  17. Three numbers form an increasing G.P. If the middle number is doubled,...

    Text Solution

    |

  18. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

    Text Solution

    |

  19. If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...

    Text Solution

    |

  20. There are 4n + 1 terms in a sequence of which first 2n + 1 are in Arit...

    Text Solution

    |