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) 3x2 – 4√3x + 4 = 0
(iii) 2x2-6x + 3 = 0
Solution:
![NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.4 Free PDF Download Q1](https://www.learncbse.in/wp-content/uploads/2018/11/NCERT-Solutions-for-Class-10-Maths-Chapter-4-Quadratic-Equations-Exercise-4.4-Free-PDF-Download-Q1.png)
![NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.4 PDF Download Q1.1](https://www.learncbse.in/wp-content/uploads/2018/11/NCERT-Solutions-for-Class-10-Maths-Chapter-4-Quadratic-Equations-Exercise-4.4-PDF-Download-Q1.1.png)
Question 2. Find the values of k for each of the following quadratic equations, so that they have two equal roots.
(1) 2x2 + kx + 3 = 0
(2) kx (x – 2) + 6 = 0
Solution:
![NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.4 Q2](https://www.learncbse.in/wp-content/uploads/2018/11/NCERT-Solutions-for-Class-10-Maths-Chapter-4-Quadratic-Equations-Exercise-4.4-Q2.png)
Question 3. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Solution:
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 NCERT Solutions Chapter 4 Quadratic Equations PDF Download Q4](https://www.learncbse.in/wp-content/uploads/2018/11/Ex-4.4-Class-10-Maths-NCERT-Solutions-Chapter-4-Quadratic-Equations-PDF-Download-Q4.png)
Question 5.
Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, find its length and breadth.
Solution:
![Chapter 4 Maths Class 10 NCERT Solutions Ex 4.4 Q5](https://www.learncbse.in/wp-content/uploads/2018/11/Chapter-4-Maths-Class-10-NCERT-Solutions-Ex-4.4-Q5.png)