RS Aggarwal - Class 10 Solutions for Quadratic Equations

We have provided step-by-step Solutions for all exercise questions given in the PDF of Class 10 RS Aggarwal Chapter 10 - Quadratic Equations. All the Exercise questions with solutions in Chapter 10 - Quadratic Equations are given below:

Exercise (Ex 10A) 10.1

Exercise (Ex 10B) 10.2

Exercise (Ex 10C) 10.3

Exercise (Ex 10D) 10.4

Exercise (Ex 10E) 10.5

Exercise (Ex 10F) 10.6

Exercise (Ex 10G) 10.7

Exercise (Ex 10H) 10.8

Quadratic Equation Class 10 RS Aggarwal Solutions - FREE PDF Download

To avoid finding it difficult to understand the concepts and formulas of this subject, students must start practising the problems on a daily basis beforehand while referring to RS Aggarwal Solutions Class 10 Chapter 4 Quadratic Equations - Ex 4A, which is available in a PDF format on Vedantu's site. This PDF will give students a detailed overview of the chapter. Students will gain knowledge on different concepts of a Quadratic Equation such as:

Meaning of Quadratic Equations

Quadratic equations are considered the polynomial equations of degree 2 in one variable if type f(x) = ax2 + bx + c where a, b, c belong to (∈) R and a ≠ 0. This is considered as the general form of a quadratic equation where 'a' is referred to as the leading coefficient, and 'c' is known to be the absolute term of f(x). The values of x that are responsible for satisfying the quadratic equation are known as the roots of the quadratic equation (a,b). The quadratic equation will always have two roots. The nature of roots might be real or imaginary.

Roots of Quadratic Equation

The values of the variables that are satisfying the requirements of a particular quadratic equation are known as roots. In other words, x = a is considered as one of the roots of the quadratic equation f(x), if f(a) = 0.

The real roots of the equation f(x) = 0 are termed as the x-coordinates of the points; this is the point where the curve y = f(x) intersects the x-axis.

• It is proved that one of the roots of the quadratic equation is zero whereas the other is equal to -b/a if c = 0.

• In case, b = c = 0 then both the roots are measured to be zero.

• When a = c, the roots are reciprocal to each other.

Nature of Roots of Quadratic Equation

Importance of RS Aggarwal Solutions Class 10 - Chapter 4 Quadratic Equations

This is a challenging chapter with difficult concepts and formulas. Students should, therefore, seek help from Quadratic Equation Class 10 RS Aggarwal Solutions. Some benefits of these Solutions are:

• The solutions are explained simply to make it easy for students to understand.

• The solutions are prepared by expert teachers who have years of experience in the field.

• The solutions are prepared following the rules and regulations imposed by the board.

Sample Question Paper

RS Aggarwal provides you with solutions in a better manner, and additionally explains step-wise-step solutions to problematic queries, thus, making Mathematics interesting for all – particularly the weaker students. Specialists suggest RS Aggarwal's Solutions as it provides easier and faster answers for every question which leaves no topic for later, therefore, the student gets extended time for revision as RS Aggarwal helps in covering the chapters quicker.

They provide solutions for each question in an exceedingly informative manner as the experts want every student to know the key concepts. Regular practice and studying with the assistance of RS Aggarwal's solutions can help in the advance of your speed and efficiency, and accuracy to ace your examination preparation and helps in achieving better and higher scores. Get the PDF copy, RS Aggarwal Class 10 Solutions - Quadratic Equations from the Vedantu website.

Experts at Vedantu have simply and properly defined each question from the beginner level, in a manner that students understand it on their own and do not find it boring. Vedantu provides free access to the RS Aggarwal Class 10 Maths Solutions. You can visit the official website of the Vedantu and click on the link then ‘Download PDF’.

Quadratic Equations

Polynomial equations holding degree 2 in one variable if type f(x) = ax2 + bx + c wherever a, b, c belong to (∈) R and a ≠ 0 are known as Quadratic Equations. It's called the general form of an equation where ‘a’ is referred to as the leading coefficient, and ‘c’ is understood to be the absolute term of f(x).

The values of x that are liable for satisfying the quadratic equation are called the roots of the quadratic equation (a,b). The quadratic equation can invariably have either two roots -   real or imaginary.

Quadratic Equations and Its Roots

Roots can be defined as the values of the variables that satisfy the requirements of a given equation. x = a is said to be the roots of the quadratic equation f(x), if f(a) = 0.

The real roots of the equation f(x) = 0 can be said so because of the x-coordinates of the points; the point where the curve y = f(x) intersects the x-axis.

It's proved that one of the roots of the quadratic equation is zero whereas the opposite is equal to -b/a if c = 0.

In case, b = c = 0 then, each of the roots is measured to be zero.

Once a = c, the roots are reciprocal to one another.

Nature of the Roots of Quadratic Equations

If the value of the discriminant is equal to 0 i.e. b2 – 4ac = 0

In this case, the quadratic equation will have equal roots i.e. a = b = -b / 2a

If the value of discriminant < 0 xss=removed xss=removed> 0 i.e. b2 – 4ac > 0

In this case, the quadratic equations will have real roots.

If the worth of the discriminant > 0 and D is found to be a perfect square. 

In this case, the quadratic equation can have rational roots.

If the value of the discriminant is greater than 0 and D isn't a perfect square.

In this case, the quadratic equation can have irrational roots i.e. a = (p + √q) and b = (p – √q) 

If the value of the discriminant is greater than 0 and D is found to be a perfect square.

Here, a = 1 and b & c can be termed as integers.

In this case, the quadratic equation goes to have integral roots.