# CLASS 11

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 7 / PERMUTATIONS AND COMBINATIONS EX 7.4 /

Question 1. lf nC8 = nC2, find nC2. Solution. We have, nC8 = nC2 Question 2. Determine n if (i) 2nC3: nC3 =12 : 1 (ii) 2nC3: nC3= 11 : 1 Solution. Question 3. How many chords …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 7 / PERMUTATIONS AND COMBINATIONS EX 7.3 /

Question 1. How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated? Solution. Total digits are …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 7 / PERMUTATIONS AND COMBINATIONS EX 7.2 /

Question 1. Evaluate (i) 8! (ii) 4!-3! Solution. (i) 8! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 7 / PERMUTATIONS AND COMBINATIONS EX 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 …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 6 / LINEAR INEQUALITIES EX 6.3 /

Solve the following system of inequalities graphically: Question 1. x ≥ 3, y ≥ 2 Solution. x ≥ 3, y ≥ 2 (i) AB represents the …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 6 / LINEAR INEQUALITIES EX 6.2 /

Solve the following inequalities graphically in two-dimensional plane. Question 1. x + y < 5 Solution. Consider the equation x + y = 5. It …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 6 / LINEAR INEQUALITIES EX 6.1 /

Question 1. Solve 24x < 100, when (i) x is a natural number (ii) x is an integer. Solution. Given inequality is 24x < 100 …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 5 / COMPLEX NUMBERS AND QUADRATIC EQUATIONS EX 5.3 /

Solve each of the following equations. Question 1. x2 + 3 = 0 Solution. We have, x2 + 3 = 0 ⇒ x2 = -3 ⇒  ⇒ x =  …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 5 / COMPLEX NUMBERS AND QUADRATIC EQUATIONS EX 5.2 /

Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. Question 1. Solution. We have,  Question 2. Solution. …

## NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 5 / COMPLEX NUMBERS AND QUADRATIC EQUATIONS EX 5.1 /

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. Question 1. Solution. = -3i2 = -3(-1)  …

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