Quadratic Equations | Class 10 | Practice Set 2.1

Quadratic Equations | Class 10 | Practice Set 2.1

The simple solutions of all the examples of practice set 2.1 are given in the pdf file attached at the end of this article.

In this article you will learn about Quadratic Equations | Class 10 | Practice Set 2.1

Also read : Linear Equations in Two Variables Problem set 1

In this article you will also learn about the general form of quadratic equations and how to identify whether the given equations are quadratic equation or not.

You will also learn about how to compare the given quadratic equations with the general form and how to find out the values of ‘a’ , ‘b’ and ‘c’.

You will also get to learn about the roots of the quadratic equation and how to find the value of a constant ‘k’, if value is given as a root of the quadratic equation.

In this way you will get the simple solutions of all the problems given in this practice set.

Also read : Linear Equations in Two Variables Practice Set 1.5

Practice Set 2.1

1. Write any two quadratic equations.
2. Decide which of the following are quadratic equations.
   (1)x2 +5x-2=0 (2)y2 =5y-10
   (4) x + 1 = -2 (5) (m + 2) (m – 5) = 0
   x
   1
   (6) m3 + 3 m2 -2 = 3 m3
3. Write the following equations in the form ax2 + bx + c = 0, then write the values of
   a, b, c for each equation.
   (1) 2y =10 – y2 (2) (x – 1)2 = 2 x + 3 (3) x2 + 5x = -(3 – x) (4) 3m2 = 2 m2 – 9 (5) P (3 + 6p) = -5 (6) x2 – 9 = 13
4. Determine whether the values given against each of the quadratic equation are the roots of the equation. 5
   (1) x2 + 4x – 5 = 0 , x = 1, -1 (2) 2m2 – 5m = 0 , m = 2, 2
5. Find k if x = 3 is a root of equation kx2 – 10x + 3 = 0 .
6. One of the roots of equation 5m2 + 2m + k = 0 is −7 . Complete the following activity
   to find the value of ’k’.
   Solution : is a root of quadratic equation 5m2 + 2m + k = 0
   \ Put m = in the equation. 2
   5 ́ +2 ́ +k=0 + +k=0

• k=0 k= ?

Practice-Set-2.1