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1. Real Numbers
Exercise 1.1
Exercise 1.2
Exercise 1.3
Exercise 1.4
2. Polynomials
Exercise 2.1
Exercise 2.2
Exercise 2.3
Exercise 2.4
3. Pair of Linear Equations in Two Variables
Exercise 3.1
Exercise 3.2
Exercise 3.3
Exercise 3.4
Exercise 3.5
Exercise 3.6
Exercise 3.7
4. Quadratic Equations
Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
5. Arithmetic Progressions
Exercise 5.1
Exercise 5.2
Exercise 5.3
Exercise 5.4
6. Triangles
Exercise 6.1
Exercise 6.2
Exercise 6.3
Exercise 6.4
Exercise 6.5
Exercise 6.6
Ncert Solutions for Class 10 Maths
Exercise 4.4
(Nature of Roots of a Quadratic Equation)
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) \(3x^2-4√3x+ 4 = 0\)
(ii) \(2x^2-6x+ 3 = 0\)
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) \(kx(x-2)+6 = 0\)
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.
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.
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.
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QUADRATIC EQUATIONS (Video) [Full Exercise 4.4]
Ncert Solution for Class 10 (Mathematics)
Important Class 10 Links
1. Real Numbers
2. Polynomials
3. Pair of Linear Equations in Two Variables
4. Quadratic Equations
5. Arithmetic Progressions
6. Triangles