Home
Class 9
MATHS
If a, b and c are in continued proportio...

If a, b and c are in continued proportion, then ` a^(2) : b^(2)` is

A

` a^(2):c^(2)`

B

`a : b`

C

`a : c`

D

` b : c`

Text Solution

Verified by Experts

The correct Answer is:
C

(i) a, b and c are in continued proportion, then ` b^(2)=ac`.
(ii) Substitute `b^(2) = ac" in "a^(2) : b^(2)`.
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise Leval 2|20 Videos
  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise Leval 3|10 Videos
  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise Essay Type Questions|5 Videos
  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|23 Videos
  • SALES TAX AND COST OF LIVING INDEX

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|14 Videos

Similar Questions

Explore conceptually related problems

If 25, 35 and p are in continued proportion, then the value of p is ________. A) 60 B) 75 C) 49 D) 50

If a,b,c and e are in continued proportion , then a/e is equal to

If a, b, c, d, e are in continued proportion, then a/e is equal to:

If a,b,c,d are in continued proportion,prove that: a:b+d=c^(3):c^(2)d+d^(3).

If a,b,c,d are in continued proportion,then (a^(3)+b^(3)+c^(3))/(b^(3)+c^(3)+d^(3))=(i)(a)/(b)(ii)(b)/(c)(iii)(c)/(d)(iv)(a)/(d)

If a, b, c are in proportion, then

If a, b, c, d are in proportion, then

If a, b, c and d are in proportion, then show that (a^(3)+3ab^(2))/(3a^(2)b+b^(3))=(c^(3)+3cd^(2))/(3c^(2)d+d^(3))

If a,b,c,d,e are in continued proportion,then prove that (ab+bc+cd+de)^(2)=(a^(2)+b^(2)+c^(2)+d^(2))(b^(2)+c^(2)+d^(2)+e^(2))

MEAN PROPORTIONAL If abc are in continued proportion then b is called the mean proportional between a and c.

PEARSON IIT JEE FOUNDATION-RATIO, PROPORTION AND VARIATION-Leval 1
  1. If x, y and z are in continued proportion, then (x + y + z)(x-y+z) = ...

    Text Solution

    |

  2. Seven friends planned a tea party. The expenses per boy in rupees is n...

    Text Solution

    |

  3. If a, b and c are in continued proportion, then a^(2) : b^(2) is

    Text Solution

    |

  4. A metal X is 16 times as dense as matal Z and metal Y is 7 times as d...

    Text Solution

    |

  5. The velocity of a freely falling body when it strikes the ground is d...

    Text Solution

    |

  6. The ratio of the number of students in two classrooms, C(1) and C(2),...

    Text Solution

    |

  7. Rakesh attended a party, where a lady asked him his age. He said tha...

    Text Solution

    |

  8. The mean proportional between two numbers is 56. If the third proport...

    Text Solution

    |

  9. The speed at which a person runs is directly proportional to the blo...

    Text Solution

    |

  10. A father want to divide Rs. 22,515 among his four sons P, Q, R and S ...

    Text Solution

    |

  11. The mean proportion of two numbers is 24 and their third proportion is...

    Text Solution

    |

  12. If 40 men can complete a job in 6 days, then find the number fo days ...

    Text Solution

    |

  13. The cost of a precious stone varies as the cube of its weight. The st...

    Text Solution

    |

  14. A diamond falls and breaks into pieces whose weights are in the ratio ...

    Text Solution

    |

  15. In a monthly unit test, the marks scored by Bunny and Sunny are in th...

    Text Solution

    |

  16. If (x^(3)+4xy^(2))/(4x^(2)y+y^(3))=15/16 , then find x : y.

    Text Solution

    |

  17. The ratio of the tens digit and the units digit of a two digits numbe...

    Text Solution

    |

  18. The least integer which when subtracted from the antecedent and added...

    Text Solution

    |

  19. Ram wanted to distribute a cartain amount between his two children Lav...

    Text Solution

    |

  20. A bag contains one rupee, 50 paise and 25 paise coins. The ratio of th...

    Text Solution

    |