**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 4.4 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 4.4 |

Number of Questions Solved | 5 |

Category | Ncertcareer |

## NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4.

Ex 4.4 Class 10 Maths Question 1.

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:

(i) 2x² -3x + 5 = 0

(ii) 3x^{2} – 4√3x + 4 = 0

(iii) 2x^{2}-6x + 3 = 0

Solution:

Ex 4.4 Class 10 Maths Question 2.

Find the values of k for each of the following quadratic equations, so that they have two equal roots.

(1) 2x^{2} + kx + 3 = 0

(2) kx (x – 2) + 6 = 0

Solution:

Ex 4.4 Class 10 Maths Question 3.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m^{2}? If so, find its length and breadth.

Solution:

Ex 4.4 Class 10 Maths Question 4.

Is the following situation possible? If so, determine their present ages.

The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Solution:

Ex 4.4 Class 10 Maths Question 5.

Is it possible to design a rectangular park of perimeter 80 m and area 400 m^{2}? If so, find its length and breadth.

Solution: