# 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) 2x2 + x – 6 = 0
(iii) √2x2 + 7x + 5√2 = 0
(iv) 2x2 – x + 1/8 = 0 8
(v) 100 x2 – 20 X + 1 = 0

### 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 Rs. 750. We would like to find out the number of toys produced on that day.

### Ex 4.2 Class 10 Maths Question 3.

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

### Ex 4.2 Class 10 Maths Question 4.

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

### 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.

### 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 Rs.90, find the number of articles produced and the cost of each article.