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 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

# Class 10

## 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 Given 2x2 - 7x + 3 =0 $ \begin{equation} \begin{aligned} &\Rightarrow 2\left(x^{2}-\frac{7}{2} x+\frac{3}{2}\right)=0\\\\ &\Rightarrow … [Read more...] about Exercise 4.3

## Class 10 English Chapter 9 | Bholi

Bholi | Question and Answer | NCERT | Class 10 | English | Footprints without Feet Read and Find out Question 1 Why is Bholi’s father worried about her? Answer Bholi was not like other children.She was just 10 months old when she suffered a brain injury due to which she always remained backward child and came to known as Bholi. At the age of two she suffered … [Read more...] about Class 10 English Chapter 9 | Bholi

## 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 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 … [Read more...] about Exercise 4.2

## Exercise 4.1

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.1 Page 73 1. Check whether the following are quadratic equations: (i) (x + 1)2 = 2(x – 3) Given, (x + 1)2 = 2(x – 3) By using the formula for (a+b)2 = a2+2ab+b2 ⇒ x2 + 2x + 1 = 2x – 6 ⇒ x2 + 7 = 0 Since the above equation is in the form of ax2 + bx + c = 0. ∴ the given … [Read more...] about Exercise 4.1

## Exercise 3.7

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.7 (Optional) Page 68 1. The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. Find the ages of Ani and Biju. The age difference between … [Read more...] about Exercise 3.7

## Class 10 English Chapter 8 | The Hack Driver

The Hack Driver | Question and Answer | NCERT | Class 10 | English | Footprints without Feet Read and Find Out Question 1 Why is the lawyer sent to New Mullion? What does he first think about the place? Answer The lawyer was sent to New Mullion to serve summons on Oliver Lutkins, who was needed as a witness in a law case. Lutkins was needed as a witness in a law … [Read more...] about Class 10 English Chapter 8 | The Hack Driver

## Exercise 3.6

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.6 Page 67 1. Solve the following pairs of equations by reducing them to a pair of linear equations: (i) 1/2x + 1/3y = 2 1/3x + 1/2y = 13/6 Let us assume 1/x = m and 1/y = n , then the equation will change as follows. m/2 + n/3 = 2 ⇒ 3m+2n-12 = 0 .....(i) m/3 + … [Read more...] about Exercise 3.6

## Exercise 3.5

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.5 Page 62 1. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method. (i) x – 3y – 3 = 0 and 3x – 9y – 2 = 0 (ii) 2x + y = 5 and 3x + 2y … [Read more...] about Exercise 3.5

## Exercise 3.4

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.4 Page 56 1. Solve the following pair of linear equations by the elimination method and the substitution method: (i) x + y = 5 and 2x – 3y = 4 (ii) 3x + 4y = 10 and 2x – 2y = 2 (iii) 3x – 5y – 4 = 0 and 9x = 2y + 7 (iv) x/2+ 2y/3 = -1 and x-y/3 = 3 (i) x + y = 5 … [Read more...] about Exercise 3.4