HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Answer the following:

Find the square root of 18i

Answer the following:

Find the square root of 3 − 4i

Answer the following:

Find the square root of 6 + 8i

Verify whether the following sequence is H.P.

`1/3, 1/5, 1/7, 1/9, ...`

Verify whether the following sequence is H.P.

`1/3, 1/6, 1/12, 1/24, ...`

Verify whether the following sequence is H.P.

`5, 10/17, 10/32, 10/47, ...`

Find the n^th term and hence find the 8^th term of the following H.P.s :

`1/2, 1/5, 1/8, 1/11, ...`

Find the n^th term and hence find the 8^th term of the following H.P.s :

`1/4, 1/6, 1/8, 1/10, ...`

Find the n^th term and hence find the 8^th term of the following H.P.s:

`1/5, 1/10, 1/15, 1/20, ...`

Find A.M. of two positive numbers whose G.M. and H.M. are 4 and `16/5` respectively.

Find H.M. of two positive numbers A.M. and G.M. are `15/2` and 6

Insert two numbers between `1/4` and `1/3` so that the resulting sequence is a H.P.

Find two numbers whose A.M. exceeds their G.M. by `1/2` and their H.M. by `25/26`

The tenth term of H.P. `2/9, 1/7, 2/19, 1/12, ...` is:

Select the correct answer from the given alternative.

The G.M.of two numbers exceeds their H.M. by `6/5`, the A.M. exceeds G.M. by `3/2` the two numbers are ...

Find the middle term in the expansion of `(x/y + y/x)^12`

Find the middle terms in the expansion of `(x^2 + 1/x)^7`

Find the middle term in the expansion of `(x^2 - 2/x)^8`

Find the middle term in the expansion of `(x/"a" - "a"/x)^10`

Find the middle terms in the expansion of `(x^4 - 1/x^3)^11`