Home
Class 12
MATHS
The A.M. of two given positive numbers i...

The A.M. of two given positive numbers is 2. If the larger number is increased by 1, the G.M. of the numbers becomes equal to the A.M. of the given numbers. Then find the H.M.

A

`(3)/(2)`

B

`(2)/(3)`

C

`(1)/(2)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 6|10 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The A.M. between two positive numbers is 34 and their G.M. is 16. find the numbers.

The A.M. between two numbers is 20 and their G.M. is 16. Find the numbers.

A.M. between two numbers is 10 and their G.M is 8. Find the numbers.

If the A.M of two numbers is 9 and G.M is 4, then these numbers are roots of the equation:

The sum of the squares of two positive integersis 208. If the square of the larger number is 18 times the smaller number, find the number.

The sum of three numbers in G.P. is 42. If the first two numbers are increased by 2 and third is decreased by 4, the resulting numbers form A.P. Find the numbers of G.P.

The A.M. between two distinct positive numbers is twice the G.M. between them. Find the ratio of the greater to the smaller.

If A.M and G.M of two positive numbers are 13 and 12 respectively. Find the numbers.

Two positive numbers whose difference is 12 and whose A.M. exceeds the G.M by 2 are:

The sum of two numbers is 6 times their G.M. show that numbers are in the ratio 3+2sqrt2: 3-2sqrt2 .