Insertion of GP's between Two Numbers

Q.

Insert 3 Geometric means between 1 and 9.

1. $\sqrt{3},3,3\sqrt{3}$

2. $3,9,27$

3. $3\sqrt{3},3,\sqrt{3}$

4. $3\sqrt{3}6\sqrt{3}$

Q.

Find geometric mean of first six natural numbers.

1. 30

2. 26.8

3. 35

4. 25

Q. If G be the geometric mean of x and y, then $\frac{1}{G^2-x^2}+\frac{1}{G^2-y^2}=$

1. G²
2. 
3. 
4. 3G²

Q. The geometric mean between $\frac{1}{4}$ and 324 is _______.

1. 18
2. 36
3. 9
4. $\frac{1}{9}$

Q. Find three geometric means between 1 and 16$a^4$.

1. 2a, 4$a^2$, 8$a^3$
2. None of the above
3. 2a, 4a, 8a
4. 2a, 2$a^2$, 2$a^3$

Q.

The mean proportional of $\sqrt{3}and4\sqrt{3}is2\sqrt{3}$.

1. True

2. False

Q.

Insert 3 Geometric means between 1 and 9.

1. $\sqrt{3},3,3\sqrt{3}$

2. $3,9,27$

3. $3\sqrt{3},3,\sqrt{3}$

4. $3\sqrt{3}6\sqrt{3}$