Home
Class 12
MATHS
If x ,y ,z are real and 4x^2+9y^2+16 z^2...

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

A

A.P.

B

GP.

C

H.P.

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If x,y,z are real and 4x^(2)+9y^(2)+16z^(2)-6xy-12yz-8zx=0, then x,y are in a.A.P.b.G.P.c.H.P.d.none of these

If x,y,z are in A.P. then : yz,zx,xy are in (a) A.P (b) G.P (c) H.P (d) no definite sequence

If 2 (y - a) is the H.M. between y - x and y - z then x-a, y-a, z-a are in (i) A.P (ii) G.P (iii) H.P (iv) none of these

If x,y,z are real and 4x^(2)+9y^(2)+16z^(2)=2xyz{(6)/(x)+(4)/(y)+(3)/(z)}

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

If a,b,c are proper fractiion are in H.P. and x sum_(n=1)^oo a^n, y=sum_(n=1)^oo b^n, z= sum_(n=1)^oo c^n then x,y,z are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If |[x+a, y+b, z+c] , [y+b, z+c, x+A] , [z+c, x+a, y+b]|=0 and a+c=-b then x,-y/2,z are in (A) A.P. (B) G.P. (C) H.P. (D) None of these

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. If 1/1^4+1/2^4+1/3^4+...+oo=pi^4/90, then 1/1^4+1/3^4+1/5^4+...+oo=

    Text Solution

    |

  2. If x, y and z are pth, gth and rth terms respectively of an A.P and al...

    Text Solution

    |

  3. The AM, HM and GM between two number are (144)/(15), 15 and 12, but no...

    Text Solution

    |

  4. If a1, a2, a3, an are in H.P. and f(k)=(sum(r=1)^n ar)-ak ,t h e n (a...

    Text Solution

    |

  5. If the p^(th), q^(th) and r^(th) terms of a GP. Are again in G.P., the...

    Text Solution

    |

  6. If x gt 0, (x^(n))/(1+x+x^(2)+...+x^(2n)) is

    Text Solution

    |

  7. If a + b + c = 3 and a > 0, b>0,c>0 the greatest value of a^2b^3c^2

    Text Solution

    |

  8. If 1/(b-a)+1/(b-c)=1/a+1/c , then a,b,c are in (A) AP (B) GP (C) ...

    Text Solution

    |

  9. 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 ,...

    Text Solution

    |

  10. If A and G be the AM and GM between two positive no.'s ; then the numb...

    Text Solution

    |

  11. Consider the sequence of numbers 121, 12321, 1234321,... Each term in ...

    Text Solution

    |

  12. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

    Text Solution

    |

  13. In a geometric progression with first term a and common ratio r, what ...

    Text Solution

    |

  14. Find the sum of n terms of the series 1+4/5+7/(5^2)+10+5^3+dot

    Text Solution

    |

  15. If the sum to infinty of the series , 1+4x+7x^(2)+10x^(3)+…., is (35)/...

    Text Solution

    |

  16. the sum3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+....... upto 11 terms

    Text Solution

    |

  17. The sum of the infinite series (1)/(2) ((1)/(3) + (1)/(4)) - (1)/(4)...

    Text Solution

    |

  18. The sum of the series : (2)^(2) + 2(4)^(2) + 3(6)^(2)+.... Upon 10 ter...

    Text Solution

    |

  19. Let H(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n), then the sum to n terms...

    Text Solution

    |

  20. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

    Text Solution

    |