Home
Class 12
MATHS
If A.M. and G.M. of x and y are in the r...

If A.M. and G.M. of x and y are in the ration p`:` q, then `x:y` is `:`

A

`p-sqrt( p^(2) + q^(2) ) : p + sqrt( p ^(2) + q^(2))`

B

`p+sqrt( p^(2) + q^(2) ) : p - sqrt( p ^(2) + q^(2))`

C

`p:q`

D

`p+sqrt( p^(2) + q^(2) ) : p - sqrt( p ^(2) - q^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

The A.M and G.M of two numbers are in the ratio 3: 2, then the ratio of the numbers is

The H.M. of two numbers is 4 and A.M. A and G.M. G satisfy the relation 2A+G^(2) = 27 , the numbers are :

If a, b, c are in A.P., a, x, b are in G.P., and b, y, c are in G.P., then (x, y) lies on :

Find the relation between p and q if x = 3 and y = 1 is the solution of the pair of equations x-4y+p=0" and " 3x+y-q-2=0 .

If A,G and H are respectively A.M.,G.M. and H.M. of three positive numbers a,b and c, then the equation whose roots are a,b,c is given by :

If 12 and 9 are respectively A.M and G.M of two numbers, then the numbers are the roots of the equation

If one G.M. mean G and two A.M's p and q be inserted between two given numbers, prove that G^(2)= (2p-q) (2q-p)

If y=m x+4 is a tangent to y^(2)=6 x, then m=

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. In the sequence 1,2,2,3,3,3,4,4,4,4"…….." where n consecutive terms ha...

    Text Solution

    |

  2. It is given that (1)/( 1^(4) ) + ( 1)/( 2^(4)) + ( 1)/( 3^(4)) +"........

    Text Solution

    |

  3. If A.M. and G.M. of x and y are in the ration p: q, then x:y is :

    Text Solution

    |

  4. Let ( a(n) ) be a G.P. such that ( a(4))/( a(6)) =( 1)/( 4) and a(2) +...

    Text Solution

    |

  5. An A.P. consists of n ( odd terms ) and its middle term is m. Then the...

    Text Solution

    |

  6. If a,b,c are the sides of a Delta ABC, which are in A.P.,then cot"" ( ...

    Text Solution

    |

  7. If S denotes the sum to infinity and S(n), the sum of n terms of the s...

    Text Solution

    |

  8. 1^(2) + 1+ 2^(2) + 2 + 3^(2) + 3+"............"+n^(2) + n is equal to...

    Text Solution

    |

  9. If H is the haromonic mean between P and W, then ( H)/( P ) + ( H)/( Q...

    Text Solution

    |

  10. In ( m+1)th, ( n + 1) th, ( r + 1) th terms of an A.P. are in G.P. an...

    Text Solution

    |

  11. If a, b, c are in A.P., p, q, r are in HP and ap, bq, cr are in GP, th...

    Text Solution

    |

  12. If a ,b,c are in H.P., then correct statement is :

    Text Solution

    |

  13. If ( a(2)a(3))/( a(1) a(4)) = ( a(2) + a(3))/( a(1) + a(4) ) = 3 ((a(2...

    Text Solution

    |

  14. The sum of the products of the ten numbers : +-1,+-2,+-3,+-4,+-5, ta...

    Text Solution

    |

  15. If n is an odd integer greater than or equal to 1, then the value of :...

    Text Solution

    |

  16. The sum of the squares of three distinct real numbers which are in G.P...

    Text Solution

    |

  17. If x =1 + a + a^(2)+"………" to oo and y = 1+ b + b^(2) +"………" to oo w...

    Text Solution

    |

  18. The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2)...

    Text Solution

    |

  19. If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) +...

    Text Solution

    |

  20. The minimum sum of the series : 20 + 19(1)/(3)+ 18(2)/( 3) +"..." i...

    Text Solution

    |