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

Ex 4.2 Class 10 Maths Question 1.

Find the roots of the following quadratic equations by factorisation:

(i) x2 -3x – 10 = 0

(ii) 2×2 + x – 6 = 0

(iii) √2×2 + 7x + 5√2 = 0

(iv) 2×2 – x + (frac { 1 }{ 8 }) = 0 8

(v) 100 x2 – 20 X + 1 = 0

Solution:

Ex 4.2 Class 10 Maths 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:

Download NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations PDF

Ex 4.2 Class 10 Maths Question 3.

Find two numbers whose sum is 27 and product is 182.

Solution:

Ex 4.2 Class 10 Maths Question 4.

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

Solution:

Ex 4.2 Class 10 Maths 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:

Ex 4.2 Class 10 Maths 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 (Hindi Medium) Ex 4.2

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