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

Answer the following:

Find the modulus and argument of a complex number and express it in the polar form.

− 3i

Answer the following:

Find the modulus and argument of a complex number and express it in the polar form.

`1/sqrt(2) + 1/sqrt(2)"i"`

Answer the following:

Represent 1 + 2i, 2 − i, −3 − 2i, −2 + 3i by points in Argand's diagram.

Answer the following:

Convert the complex numbers in polar form and also in exponential form.

z = `(2 + 6sqrt(3)"i")/(5 + sqrt(3)"i")`

Answer the following:

Convert the complex numbers in polar form and also in exponential form.

z = `-6 + sqrt(2)"i"`

Convert the complex numbers in polar form and also in exponential form.

`(-3)/2 + (3sqrt(3))/2"i"`

Answer the following:

Find the coefficient of x⁶ in the expansion of e^2x using series expansion

How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated

Determine the number of arrangements of letters of the word ALGORITHM if vowels are always together

Determine the number of arrangements of letters of the word ALGORITHM if no two vowels are together.

Determine the number of arrangements of letters of the word ALGORITHM if consonants are at even positions.

Determine the number of arrangements of letters of the word ALGORITHM if O is the first and T is the last letter

In a group photograph, 6 teachers are in the first row and 18 students are in the second row. There are 12 boys and 6 girls among the students. If the middle position is reserved for the principal and if no two girls are together, find the number of arrangements.

Find the number of ways so that letters of the word HISTORY can be arranged as Y and T are together

Find the number of ways so that letters of the word HISTORY can be arranged as Y is next to T

Find the number of ways so that letters of the word HISTORY can be arranged as there is no restriction

Find the number of ways so that letters of the word HISTORY can be arranged as begin and end with vowel

Find the number of ways so that letters of the word HISTORY can be arranged as end in ST

Find the number of ways so that letters of the word HISTORY can be arranged as begin with S and end with T

Find the number of arrangements of the letters in the word SOLAPUR so that consonants and vowels are placed alternately