NCERT Solutions with NCERTplanet
NCERT Solutions with NCERTplanet
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 =>…
Class 11 – Mathematics Permutations Combinations – Exercise 7.3 Question 1: How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated? Answer: 3-digit numbers have to be formed using the digits…
Class 11 – Mathematics Permutations Combinations – Exercise 7.2 Question 1: Evaluate (i) 8! (ii) 4! – 3! Answer: We know that n! = n(n – 1)(n – 2)(n – 3)……………..3.2.1 or n! = 1.2.3………..(n – 2)(n – 1)n (i)…
Class 11 – Mathematics Permutations Combinations – Exercise 7.1 Question 1: How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that (i) repetition of the digits is allowed? (ii) repetition of the…
Class 11 – Mathematics Linear Inequalities – Exercise 6 – Misc Question 1: Solve the inequality 2 ≤ 3x – 4 ≤ 5 Answer: Given, 2 ≤ 3x – 4 ≤ 5 ⇒ 2 + 4 ≤ 3x – 4…
Class 11 – Mathematics Linear Inequalities – Exercise 6.3 Question 1: Solve the following system of inequalities graphically: x ≥ 3, y ≥ 2. Answer: x ≥ 3 ………….1 y ≥ 2 ………….2 The graph of the lines, x =…
Class 11 – Mathematics Linear Inequalities – Exercise 6.2 Question 1: Solve the given inequality graphically in two-dimensional plane: x + y < 5 Answer: The graphical representation of x + y = 5 is given as dotted line in…