**Topics and Sub Topics in Class 10 Maths Chapter 4 Quadratic Equations:**

Section Name | Topic Name |

4 | Quadratic Equations |

4.1 | Introduction |

4.2 | Quadratic Equations |

4.3 | Solution of a Quadratic Equation by Factorisation |

4.4 | Solution of a Quadratic Equation by Completing the Square |

4.5 | Nature of Roots |

4.6 | Summary |

You can also download the free PDF of Chapter 4 Ex 4.2 Quadratic Equations NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation.

Board | CBSE |

Textbook | NCERT |

Class | Class 10 |

Subject | Maths |

Chapter | Chapter 4 |

Chapter Name | Quadratic Equations |

Exercise | Ex 4.2 |

Number of Questions Solved | 6 |

Category | Ncertcareer |

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

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2 are part of NCERT Solutions for Class 10 Maths. Here we have given 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) x^{2} -3x – 10 = 0

(ii) 2x^{2} + x – 6 = 0

(iii) √2x^{2} + 7x + 5√2 = 0

(iv) 2x^{2} – x + 18 = 0 8

(v) 100 x^{2} – 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:

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: