NCERT Solutions For Class 10 Maths Chapter 4: Quadratic Equations

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The NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations are given in this article. Quadratic Equations are polynomial equations with the degree of the equation equal to 2 in one variable shape. For example: f(x) = ax² + bx + c in which a, b, c, ∈ r and a ≠ 0. The values that fulfil a given quadratic equation are called roots and each equation has at least 2 roots.

Class 10 Maths Chapter 4 Quadratic Equations belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination. Questions related to finding the nature of roots of Quadratic Equation and Quadratic Equations Formula are often asked in the examination.

Download PDF: NCERT Solutions for Class Class 10 Mathematics Chapter 4

NCERT Solutions for Class 10 Mathematics Chapter 4

NCERT Solutions

Important Topics in Class 10 Maths Chapter 4

A polynomial of the form ax²+ bx + c, where a, b and c are real numbers and a is not equal to 0 is known as a quadratic polynomial.

Any equation of the form p(x) = c, where p(x) is any polynomial of degree 2 and c is a constant, can be identified as a quadratic equation.

The roots of quadratic equation are the values of x for which a quadratic equation is satisfied.

A quadratic equation can either have 2 distinct real roots, 2 equal roots or the real roots for the equation may not exist.

Quadratic Formula can be used to directly find the roots of a quadratic equation from its standard form.

For the quadratic equation ax²+ bx + c = 0, x = [-b ± √(b²-4ac)]/2a

Discriminant of the Quadratic Equation – For a quadratic equation ax²+ bx + c = 0, the expression b²− 4ac is known as the discriminant, (denoted by D).

The discriminant determines the nature of the roots of the quadratic equation based on its coefficients.

Based on the discriminant value, D = b²− 4ac, the quadratic equation roots can be of three types.

Case 1: If D > 0, the equation has two distinct real roots.

Case 2: If D = 0, the equation has two equal real roots.

Case 3: If D < 0, the equation has no real roots.

NCERT Solutions For Class 10 Maths Chapter 4 Exercises:

The detailed solutions for all the NCERT Solutions for Quadratic Equations under different exercises are as follows:

Quadratic Equations – Related Topics:

Nature of Roots	Discriminant Formula	Quadratic Interpolation Formula
Quadratic Equations Formula	Quadratic Equations MCQ	Degree of Polynomial
Polynomials Formula	Factorisation of Polynomials	Roots of Polynomials

CBSE Class 10 Maths Study Guides:

NCERT Solutions for Class 10 Maths	Math Formula	Class 10 Maths Notes
Geometry	Maths Study Material	Mensuration
Difference between in Maths	Calculus	Math MCQs

CBSE X Related Questions

1.
$ABCD$ is a parallelogram such that $AF = 7 \text{ cm}$, $FB = 3 \text{ cm}$ and $EF = 4 \text{ cm}$, length $FD$ equals
- $\frac{21}{4} \text{ cm}$
- $\frac{28}{3} \text{ cm}$
- $\frac{12}{7} \text{ cm}$
- $5.5 \text{ cm}$
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2.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.
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3.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
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4.
The first term of an AP is $p$ and the common difference is $q$, then its 10th term is :
- $q - 9p$
- $p - 9q$
- $p + 9q$
- $2p + 9q$
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5.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals
- $x^2 + 5x - 4$
- $(x + 3) (-x + 8)$
- $a(x^2 + 5x - 24)$
- $x^2 - 24$
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6.
The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :
- 0
- 1
- 3
- 2
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