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Class 10 Mathematics Chapter 2 Test 2 – Quadratic Equations and Inequalities | Unit Wise Class Test
10th Class Math Test series 2027
Class 10 Mathematics Chapter 2 Test 2 Exercise 2.1 to Exercise 2.4 is based on Quadratic Equations and Inequalities and is designed for effective chapter-wise exam preparation. This Class 10 Math Test covers important concepts including quadratic equations, roots of quadratic equations, factorization, completing square method, quadratic formula, discriminant, equal roots, inequalities, graphs of quadratic functions and related mathematical problems. Students can use this Class 10 Chapter 2 Mathematics Test for practice, revision, self-assessment and Class 10 board exam preparation. This test includes both objective MCQs and subjective questions from Quadratic Equations and Inequalities.
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Exercise 2.1 to Exercise 2.4
Test-2
Unit 2: Quadratic Equations and Inequality
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i)
A quadratic equation can be solved by using the method of:
(ii)
Which of the following in not a polynomial?
(iii)
For any a and b, which of the following is true?
(iv)
Graph of quadratic function
f(x) = ax2 + bx + c
is called:
(v)
Sum of roots of the quadratic equation
ax2 + bx + c = 0 is:
Unit Wise Class Test
Test-2
Unit 2: Quadratic equations and Inequality
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i)
Solve by completing square method.
2x2 − 7x = 20
(ii)
Solve the following quadratic equations by
factorization method:
x2 − 3 2 x = 9 2
x2 − 3 2 x = 9 2
(iii)
Find the points of intersection of the following
linear equations with coordinate axes graphically:
x − 2y = 1
x − 2y = 1
(iv)
Form a quadratic equation whose roots are given below:
−7 5 , −6 5
−7 5 , −6 5
(v)
Find the value of k if the equation
(k + 1)x2 + (2k − 1)x + (k − 1) = 0
has equal roots.
(vi)
If the quadratic equation
16x2 + 7px + 49 = 0
has equal roots, then find the values of p.
Note: Answer the following Questions.
(4 + 4 = 8)
3.
Solve the following equation graphically:
y + x = 2,
y = 2x2 + x − 10
4.
Find the values for m, if the quadratic equation
mx2 − 8x + 1 = 0
has real and equal roots.
