If the arithmetic and geometriv means of two positive numbers are A and G respectively,then show that `AgeG`.

The A.M. and G.M. of two positive numbers are 15 and 9 respectively. Find them.

The A.M. and G.M. of two positive numbers are 25 and 24 respectively. Find them.

If the mean and median of a set of numbers are 8.9 and 9 respectively then the mode will be

The difference between the arithmetic mean and geometric mean of two positive numbers is 16. If the ratio of the numbers is 1:25 find the numbers

If A and G are the AM and GM of the positive number a and b then prove that AgeG

The sum of two positive numbers is 13 and their G.M. is 6. Find them.

The A.M. of two positive numbers a and b is twice their G.M. Prove that - a:b=2+sqrt3:2-sqrt3 .

If A be the A.M. of two given numbers and g_1 and g_2 be two G.M.'s between them,then show that- 2A=(g_1^2)/(g_2)+(g_2^2)/g_1 .

PA and PB are two tangents drawn from an external point P at the points A and B on a circle with centre O.If another tangent to the circle intersects PA and PB at L and M respectively,show that LM=AL+BM.

The position-time (x-f) graphs for two children A and B returning from their school O to their homes P and Q respectively are shown in the giure chosse the correct entires in the brackets below, (A/B) lives closer to the school than (B/A)