Mathematics

Class 11 – Mathematics Straight Lines – Exercise 10.2 Question 1: Write the equations for the x and y-axes. Answer: The y-coordinate of every point on the x-axis is 0. Therefore, the equation of the x-axis is y = 0.…

Class 11 – Mathematics Straight Lines – Exercise 10.1 Question 1: Draw a quadrilateral in the Cartesian plane, whose vertices are (–4, 5), (0, 7), (5, –5) and  (-4,-2). Also, find its area. Answer: Let ABCD be the given quadrilateral…

Class 11 – Mathematics Sequences and Series – Exercise 9-Misc Question : 1 Answer: Question : 2 Answer: Question : 3 Answer: Question : 4 Answer: Question : 5 Answer: Question : 6 Answer: Question : 7 Answer: Question :…

Class 11 – Mathematics Sequences and Series – Exercise 9.4 Question : 1 Answer: Question : 2 Answer: Question : 3 Answer: Question : 4 Answer: Question : 5 Answer: Question : 6 Answer: Question : 7 Answer: Question :…

Class 11 – Mathematics Sequences and Series – Exercise 9.3 Question : 1 Answer: Question : 2 Answer: Question : 3 Answer: Question : 4 Answer: Question : 5 Answer: Question : 6 Answer: Question : 7 Answer: Question :…

Class 11 – Mathematics Sequences and Series – Exercise 9.2 Question : 1 Answer: Question : 2 Answer: Question : 3 Answer: Question : 4 Answer: Question : 5 Answer: Question : 6 Answer: Question : 7 Answer: Question :…

Class 11 – Mathematics Sequences and Series – Exercise 9.1 Question : 1 Answer: Question : 2 Answer: Question : 3 Answer: Question : 4 Answer: Question : 5 Answer: Question : 6 Answer: Question : 7 Answer: Question :…

Class 11 – Mathematics Bonomial Theorem – Exercise 8-Misc Question 1: Find a, b and n in the expansion of (a + b)n if the first three terms of the expansion are 729, 7290 and 30375, respectively. Answer: Given that…

Class 11 – Mathematics Bonomial Theorem – Exercise 8.2 Question 1: Find the coefficient of x5 in (x + 3)8 Answer: It is known that (r + 1)th term, (Tr+1), in the binomial expansion of (a + b)n is given…

Class 11 – Mathematics Bonomial Theorem – Exercise 8.1 Question 1: Expand the expression (1– 2x)5 Answer: By using Binomial Theorem, the expression (1– 2x)5 can be expanded as (1– 2x)5 = 5C0 (1)5 – 5C1 (1)4 (2x) + 5C2…

Class 11 – Mathematics Permutations Combinations – Exercise 7-Misc Question 1: How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER? Answer: In the word DAUGHTER,…

Class 11 – Mathematics Permutations Combinations – Exercise 7.4 Question 1: If nC8 = nC2, find nC2 Answer: We know that nCa = nCb => n = a + b or a = b Now,            nC8 = nC2 =>…