Home
Class 11
MATHS
For any three positive real numbers a , ...

For any three positive real numbers `a , b` and `c ,9(25 a^2+b^2)+25(c^2-3a c)=15 b(3a+c)dot` Then : `a ,b` and`c` are in`AdotPdot` (2) `a ,b` and `c` are in `GdotPdot` `b ,c` and `a` are in `GdotPdot` (4) `b , c` and `a` are in `AdotPdot`

A

b,cand a are in A.P

B

a,b and c are in A.P

C

a,b and c are in G.P

D

b,c and a are in G.P

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-3a c)=15 b(3a+c)dot Then : (1) a ,b and c are in AdotP (2) a ,b and c are in GdotP (3) b ,c and a are in GdotP (4) b , c and a are in AdotP

For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c) Then: (1) b, c and a are in G.P. (2) b, c and a are in A.P. (3) a, b and c are in A.P (4) a, b and c are in G.P

If In(a+c),ln(a-c),ln(a-2b+c) are in AdotPdot, then a , b , c ,a r einAdotPdot (b) a^2,b^2,c^2a r einAdotPdot a , b , c are in GdotPdot (d) a , b , c are in HdotPdot

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

If three positive real numbers a,b,c, (cgta) are in H.P., then log(a+c)+log(a-2b+c) is equal to

Let a,b and c be positive real numbers such that a+b+c=6. Then range of ab^(2)c^(3) is

If a^(2)+9b^(2)+25c^(2)=abc((15)/(a)+(5)/(b)+(3)/(c)), then a,b,c are in

If a,b,c, are positive numbers such that 2a+3b+4c=9, then

If a, b and c are positive real numbers such that aleblec, then (a^(2)+b^(2)+c^(2))/(a+b+c) lies in the interval

MODERN PUBLICATION-SEQUENCES AND SERIES-COMPETITION FILE
  1. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  2. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

  3. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  4. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  5. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  6. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  7. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |

  8. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  9. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  10. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  11. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

    Text Solution

    |

  12. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  13. If the 2nd , 5th and 9th terms of a non-constant A.P. are in G.P.,...

    Text Solution

    |

  14. If the surm of the first ten terms of the series,(1 3/5)^2+(2 2/5)^2+(...

    Text Solution

    |

  15. For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-...

    Text Solution

    |

  16. Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+...

    Text Solution

    |

  17. Let a1, a2, a3...a49 be in AP such that sum(k=0)^12(a4k+1)=416 and a9+...

    Text Solution

    |

  18. Let A be the sum of the first 20 terms and B be the sum of the first 4...

    Text Solution

    |

  19. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |

  20. Let a(1) , a(2) ...... A(50) are non constant terms of an A.P. And sum...

    Text Solution

    |