Home
Class 12
MATHS
If x^2+9y^2+25 z^2=x y z((15)/2+5/y+3/z)...

If `x^2+9y^2+25 z^2=x y z((15)/2+5/y+3/z),t h e n` `x ,y ,a n dz` are in H.P. b. `1/x ,1/y ,1/z` are in A.P. c. `x ,y ,z` are in G.P. d. `1/a+1/d=1/b=1/c`

A

A.P.

B

G.P.

C

A.G.P.

D

H.P.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+9y^(2)+25z^(2)=xyz((15)/(x)+(5)/(y)+(3)/(z)), then x,y, andz are in H.P.(1)/(x),(1)/(y),(1)/(z) are in A.P.c.x,y,z are in G.P.d.(1)/(a)+(1)/(d)=(1)/(b)=(1)/(c)

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

If distinct numbers x,y,z are in G.P. and 1/(x+a),1/(y+a),1/(z+a) are in A.P., prove that a=y .

IF a,b,c are in G.P and a^(1/x)=b^(1/y)=c^(1/z) then x,y,z are in

If reciprocals of (x+y)/2,y, (y+z)/2 are in A.P., show that x,y,z are in G.P.

If y-z,2(y-a),y-x are in H.P. prove that x-a,y-a,z-a are in G.P.

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |

  2. If alpha,beta are the roots of x^2+p x+q=0a d nx^(2n)+p^n x^n+q^n=0a n...

    Text Solution

    |

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

    Text Solution

    |

  4. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

    Text Solution

    |

  5. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

    Text Solution

    |

  6. If the equation ax^2 + bx + c = 0, 0 < a < b < c, has non real comple...

    Text Solution

    |

  7. If A(z(1)),B(z(2)), C(z(3)) are the vertices of an equilateral triangl...

    Text Solution

    |

  8. In triangle ABC, if cosA+2cosB+cosC=2,t h e na ,b ,c are in (A) A.P. (...

    Text Solution

    |

  9. If a(a), a (2), a (3),…., a(n) are in H.P. and f (k)=sum (r =1) ^(n) a...

    Text Solution

    |

  10. If |z(1)-1|lt 1,|z(2)-2|lt 2,|z(3)-3|lt 3, then |z(1)+z(2)+z(3)|

    Text Solution

    |

  11. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  12. Let z and omega be two non zero complex numbers such that |z|=|omega|...

    Text Solution

    |

  13. If zr=cos(pialpha)/(n^2)+isin(ralpha)/(n^2), where r=1,2,3....,n, then...

    Text Solution

    |

  14. The roots of the cubic equation (z + alpha beta)^3 = alpha^3 , alpha ...

    Text Solution

    |

  15. If z(0) is one of the roots of the equation z^(n)cos theta(0)+z^(n-1)c...

    Text Solution

    |

  16. A(z1),B(z2) and C(z3) are the vertices of triangle ABC inscribed in th...

    Text Solution

    |

  17. If z1, z2 are the non zero complex root of z^2 -ax + b=0 such that |...

    Text Solution

    |

  18. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  19. h1. If C is skew-symmetric matrix of order n and X is nxx1 column matr...

    Text Solution

    |

  20. If A=[(1,2),(2,1)] and f(x)=(1+x)/(1-x), then f(A) is

    Text Solution

    |