Science (English Medium) Class 11 - CBSE Question Bank Solutions

In how many ways can the letters of the word
"INTERMEDIATE" be arranged so that:the vowels always occupy even places?

In how many ways can the letters of the word "INTERMEDIATE" be arranged so that:

the relative order of vowels and consonants do not alter?

The letters of the word 'ZENITH' are written in all possible orders. How many words are possible if all these words are written out as in a dictionary? What is the rank of the word 'ZENITH'?

Find the square root of the following complex number:

−5 + 12i

Find the square root of the following complex number:

−7 − 24i

Find the square root of the following complex number:

1 − i

Find the square root of the following complex number:

 −8 − 6i

Find the square root of the following complex number:

8 −15i

Find the square root of the following complex number:

\[- 11 - 60\sqrt{- 1}\]

Find the square root of the following complex number:

 \[1 + 4\sqrt{- 3}\]

Find the square root of the following complex number:

 4i

Find the square root of the following complex number:

−i

Write the values of the square root of −i.

If x + iy =\[\sqrt{\frac{a + ib}{c + id}}\] then write the value of (x² + y²)².

If\[\sqrt{a + ib} = x + iy,\] then possible value of \[\sqrt{a - ib}\] is

If a = 1 + i, then a² equals

For all positive integers n, show that ²ⁿC_n + ²ⁿC_{n − 1} = `1/2` ^{2n + 2}C_n+1