Answer :

GM = √xy

Let X = 2 and Y =

GM =

=

∴

Rate this question :

If AM and GM of two positive numbers a and b are 10 and 8 respectively, find the numbers.

RD Sharma - MathematicsIf AM and GM of roots of a quadratic equation are 8 and 5 respectively, then obtain the quadratic equation.

RD Sharma - MathematicsWrite the quadratic equation, the arithmetic and geometric means of whose roots are A and G respectively.

RS Aggarwal - MathematicsThe sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an A.P. Find the numbers.

RD Sharma - MathematicsFind the two numbers whose A.M. is 25 and GM is 20.

RD Sharma - MathematicsInsert 5 geometric means between and .

RD Sharma - MathematicsFind the geometric means of the following pairs of numbers :

i. 2 and 8

ii. a^{3}b and ab^{3}

iii. –8 and –2

RD Sharma - MathematicsIf a, b, c are in A.P. and a, x, b and b, y, c are in G.P., show that x^{2}, b^{2}, y^{2} are in A.P.

Prove that the product of n geometric means between two quantities is equal to the nth power of a geometric mean of those two quantities.

RD Sharma - MathematicsConstruct a quadratic in x such that A.M. of its roots is A and G.M. is G.

RD Sharma - Mathematics