NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Exercise 5.2 Page 105 1. Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the … [Read more...] about Exercise 5.2

# Maths

## Exercise 5.1

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Exercise 5.1 Page 99 1. In which of the following situations, does the list of numbers involved make an arithmetic progression and why? (i) The taxi fare after each km when the fare is ₹ 15 for the first km and ₹ 8 for each additional km. Answer (i) Let tn be the taxi fare for first n … [Read more...] about Exercise 5.1

## Exercise 4.4

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.4 Page 91 1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them; (i) 2x2 – 3x + 5 = 0 Answer 2x2 – 3x + 5 = 0 Comparing the equation with ax2 + bx + c = 0, we get a = 2, b = -3 and c = 5 We know, Discriminant = b2 – 4ac = ( – 3)2 – 4 (2) … [Read more...] about Exercise 4.4

## Exercise 4.3

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.3 Page 87 1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2 – 7x + 3 = 0 ⇒ 2x2 – 7x = – 3 Dividing by 2 on both sides, we get ⇒ x2 -7x/2 = -3/2 ⇒ x2 -2 × x × 7/4 = -3/2 On adding (7/4)2 to both sides of equation, we get ⇒ … [Read more...] about Exercise 4.3

## Exercise 4.2

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.2 Page 76 1. Find the roots of the following quadratic equations by factorisation: (i) x2 – 3x – 10 = 0 Answer Given, x2 – 3x – 10 =0 Taking LHS, ⇒ x2 – 5x + 2x – 10 ⇒ x(x – 5) + 2(x – 5) ⇒ (x – 5)(x + 2) The roots of this equation, x2 – 3x – 10 = 0 are the values of x for which (x – … [Read more...] about Exercise 4.2