RS Aggarwal Solutions for Class 10 Maths Chapter 10 Quadratic Equations | Updated For 2021-22

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RS Aggarwal Solutions for Class 10 Maths Chapter 10 Quadratic Equations

RS Aggarwal Solutions for Class 10 Maths Chapter 10 Quadratic Equations – Overview

The Chapter 10 of RS Aggarwal Solutions Class 10 Maths consists of six exercises in total and all the questions will be related to the concepts of Quadratic Equations.

Quadratic Equations

The polynomial equations of degree 2 in one variable if type f(x) = ax2 + bx + c where a, b, c belongs to (∈) R and a ≠ 0 are called Quadratic Equations. It is known 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 called the roots of the quadratic equation (a,b). The quadratic equation will always have two roots, i.e., real or imaginary.

Roots Of Quadratic Equations

Roots are the values of the variables that are satisfying the requirements of a particular quadratic equation. 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; the point where the curve y = f(x) intersects the x-axis.

1. 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.

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

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

Nature Of Roots OF Quadratic Equations

If the value of the discriminant = 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 i.e. b2 – 4ac < 0	In this case, the quadratic equations will have imaginary roots i.e. a = (p + iq) and b = (p – iq). Where ‘iq’ is considered as the imaginary part of a complex number.
If the value of the discriminant (D) > 0 i.e. b2 – 4ac > 0	In this case, the quadratic equations will have real roots.
If the value of the discriminant > 0 and D is found to be a perfect square.	In this case, the quadratic equation is going to have rational roots.
If the value of the discriminant > 0 and D is not a perfect square.	In this case, the quadratic equation is going to have irrational roots i.e. a = (p + √q) and b = (p – √q)
If the value of the discriminant > 0 and D is found to be a perfect square. Here, a = 1 and b & c are integers	In this case, the quadratic equation is going to have integral roots.

RS Aggarwal Solutions for Class 10 Maths Chapter 10 Quadratic Equations – Important Exercise 

RS Aggarwal Solutions Chapter 10 Exercise 10.1

RS Aggarwal Solutions Chapter 10 Exercise 10.2

RS Aggarwal Solutions Chapter 10 Exercise 10.3

RS Aggarwal Solutions Chapter 10 Exercise 10.4

RS Aggarwal Solutions Chapter 10 Exercise 10.5

RS Aggarwal Solutions Chapter 10 Exercise 10.6

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