NCERT Solutions with NCERTplanet
NCERT Solutions with NCERTplanet
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…
Class 11 – Mathematics Linear Inequalities – Exercise 6.1 Question 1: Solve 24x < 100, when (i) x is a natural number (ii) x is an integer Answer: The given inequality is 24x < 100 ⇒ x < 100/24 ⇒…
Class 11 – Mathematics Complex Numbers – Exercise 5 – Misc Question 1: Evaluate: [i18 + (1/i)25]3 Answer: Given, [i18 + (1/i)25]3 = [i4*4+2 + 1/i4*6+1]3 = [(i4)2 * i2 + 1/{(i4)6 * i}]3 = [-1 + 1/i]3 [Since i4…
Class 11 – Mathematics Complex Numbers – Exercise 5.3 Question 1: Solve the equation x2 + 3 = 0 Answer: The given quadratic equation is x2 + 3 = 0 On comparing the given equation with ax2 + bx +…
Class 11 – Mathematics Complex Numbers – Exercise 5.2 Question 1: Find the modulus and the argument of the complex number z = -1 – √3 Answer: Given, z = -1 – √3 Let r cos θ = -1 and…
Class 11 – Mathematics Complex Numbers – Exercise 5.1 Question 1: Express the given complex number in the form a + ib: (5i)(-3i/5) Answer: (5i)(-3i/5) = (-5 * 3/5) * I * i = -3 * i2 = -3 *…
Class 11 – Mathematics Principle of Mathematical Induction – Exercise 4.1 Question : 1 Answer: Question : 2 Answer: Question : 3 Answer: Question : 4 Answer: Question : 5 Answer: Question : 6 Answer: Question : 7 Answer: Question…