Too many of us are not living our dreams because we are living our fears. – **Les Brown**

# Lecture - 6 Chapter 4 Quadratic Equations

00:00:30 NCERT Exercise 4.3 Question 11 Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.

00:08:51 NCERT Exercise 4.4 Question 1 Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:

(i) \(2x^2-3x+5=0\)

(ii) \(3x^2-4\sqrt{3}x+4=0\)

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

00:23:01 NCERT Exercise 4.4 Question 2 Find the values of k for each of the following quadratic equations, so that they have two equal roots.

(i) \(2x^2+kx+3=0\)

(ii) \(kx(x-2)+6=0\)

00:27:11 NCERT Exercise 4.4 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.

00:31:41 NCERT Exercise 4.4 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.

00:36:21 NCERT Exercise 4.4 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.