# NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2

Here, Below you all know about NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2 Question Answer. I know many of you confuse about finding Chapter 4 Quadratic Equations Ex 4.2 Of Class 10 NCERT Solutions. So, Read the full post below and get your solutions.

## NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2

NCERT TEXTBOOK EXERCISES

Ex 4.2 Class 10 NCERT Solutions Question 1. Find the roots of the following quadratic equations by factorisation:

(i) x2 -3x – 10 = 0
(ii) 2x2 + x – 6 = 0
(iii) √2x2 + 7x + 5√2 = 0
(iv) 2x2 – x + 18 = 0 8
(v) 100 x2 – 20 X + 1 = 0

Solution:

Class 10 Maths 4.2 NCERT Solutions Question 2. Solve the following situations mathematically:

(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was ₹750. We would like to find out the number of toys produced on that day.

Solution:

(i) Let the number of marbles John had be x
Then, the number of marbles Jivanti had = 45 -x
The number of marbles left with John, when he lost 5 marbles = x – 5
The number of marbles left with Jivanti, when she lost 5 marbles = 45 -x – 5 = 40 -x

Ex 4.2 Class 10 Question 3. Find two numbers whose sum is 27 and product is 182.

Solution:

Let one number = x ,
∴ other number = 21 -x
According to question,

Question 4. Find two consecutive positive integers, sum of whose squares is 365.

Solution:

Let the two consecutive integers be x and x + 1.
According to question,

Ex 4.2 Class 10 Question 5. The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

Solution:

Let base = x cm,
∴ height = (x – 7) cm
By Pythagoras Theorem,
(base)² + (height)² = (hypotenuse)²

Ex 4.2 Class 10 Question 6. A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was ₹90, find the number of articles produced and the cost of each article.

Solution:

## NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.2 PDF

For NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2, you may click on the link below and get your NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise pdf file.