Home
Class 12
MATHS
If the arithmetic means of two positive ...

If the arithmetic means of two positive number a and b `(a gt b )` is twice their geometric mean, then find the ratio a: b

A

`2+sqrt(3 ):2-sqrt(3)`

B

`7 +4 sqrt(3) :1`

C

`1 : 7-4sqrt(3)`

D

`2 : sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
1,2,3
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - D) Linked Comprehension|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - E) Assertion-Reason|12 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - B) One option is correct|49 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

If the arithmetic mean of two numbers a and b, a>b>0 , is five times their geometric mean, then (a+b)/(a-b) is equal to:

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by (3)/(2) and the geometric mean exceeds their harmonic mean by (6)/(5) . If a+b=alpha and |a-b|=beta, then the value of (10beta)/(alpha) is equal to

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by 2 and the harmonic mean is one - fifth of the greater of a and b, such that alpha=a+b and beta=|a-b| , then the value of alpha+beta^(2) is equal to

The arithmetic mean between two distinct positive numbers is twice the geometric mean between them. Find the ratio of greater to smaller. ​

If arithmetic mean of two positive numbers is A, their geometric mean is G and harmonic mean H, then H is equal to

If the A.M. of two positive numbers aa n db(a > b) is twice their geometric mean. Prove that : a : b=(2+sqrt(3)):(2-sqrt(3))dot

If the A.M. of two positive numbers aa n db(a > b) is twice their geometric mean. Prove that : a : b=(2+sqrt(3)):(2-sqrt(3))dot

The arithmetic mean of two positive numbers is 6 and their geometric mean G and harmonic mean H satisfy the relation G^(2)+3H=48 . Then the product of the two numbers is

Find the arithmetic mean of first five prime numbers.

Find the arithmetic mean of 4 and 12.

Home
Profile