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NCERT Class 11 Maths Chapter 8 Exercise 8.1 Page No: 166 Expand each of the expressions in Exercises 1 to 5. 1. (1 – 2x)5 Solution: From binomial theorem expansion we can write as (1 – 2x)5 = 5Co (1)5 – 5C1 (1)4 (2x) + 5C2 (1)3 (2x)2 – 5C3 (1)2 (2x)3 + 5C4 (1)1 (2x)4 – 5C5 (2x)5 = 1 – 5 (2x) + 10 (4x)2 – 10 (8×3) + 5 ( 16 x4) –

Solutions for Class 11 Maths Chapter 7 Exercise 7.1 Page No: 138 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 digits is not allowed? Solution: (i) Let the 3-digit number be ABC, where C

Solution for Class 11 Maths Chapter 6 Linear Inequalities Exercise 6.1 Page No: 122 1. Solve 24x < 100, when (i) x is a natural number. (ii) x is an integer. Solution: (i) Given that 24x < 100 Now we have to divide the inequality by 24 then we get x < 25/6 Now when

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.1 Page No: 103 Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. 1. (5i) (-3/5i) Solution: (5i) (-3/5i) = 5 x (-3/5) x i2 = -3 x -1 [i2 = -1] = 3 Hence, (5i) (-3/5i)

NCERT Solutions for Class 11 Maths Chapter 4 Exercise 4.1 page: 94 Prove the following by using the principle of mathematical induction for all n ∈ N: 1. Solution: P (k + 1) is true whenever P (k) is true. Therefore, by the principle of mathematical induction, statement P (n) is true for all natural

NCERT Solutions for Class 11 Maths Chapter 3 Exercise 3.1 page: 54 1. Find the radian measures corresponding to the following degree measures: (i) 25° (ii) – 47° 30′ (iii) 240° (iv) 520° Solution: (iv) 520° 2. Find the degree measures corresponding to the following radian measures (Use π = 22/7) (i) 11/16 (ii) -4