Chapter 2 Theory Of Quadratic Equations Math 10th Class Punjab MCQ Tests
10th Class Math Chapter 2 MCQ Tests
Chapter 2 of 10th Class Math has 44 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 44
Total Marks: 44
Time: 45 Mins
Total Questions: 44
Total Marks: 44
Time: 45 Mins
45Min : 00 Sec Remaining
Question # 1
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 2
If ω is imaginary cube root of unity, then ω is equal to _____.
Question # 3
If α and β are the roots of the equation then form the equation whose roots are?
Question # 4
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 5
The area of a rectangular field is 297 sq.m. Had it been 3 meters longer and one meter shorter, the area would had been 3 square meters more. Find the length and breadth.
Question # 6
Discuss the nature of the roots of the quadratic equation 2 x2 − 8 x + 3 = 0.
Question # 7
If the roots of the quadratic equation p x 2 + q x + r = 0 are reciprocals of one another, then which of the following is true?
Question # 8
Find the remainder when 4x3 − 5 x + 1 is divided by x − 2.
Question # 9
Evaluate: ( 1 + ω − ω2 ) ( 1 − ω + ω2 ).
Question # 10
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 11
Find the value of a and b if − 2 and 2 are the roots of the polynomial x3 − 4 x 2 + a x + b.
Question # 12
Find the value of k.
Question # 13
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the sides x and y , x > y , that make the right angle of the triangle.
Question # 14
If g and h are the roots of the equation:
Question # 15
Find the condition that one root of x2 + p x + q = 0 is Square of the other.
Question # 16
Find the condition that one root of x2 + p x + q = 0 is multiplicative inverse of the other.
Question # 17
Solve the Equation:
Question # 18
Form the equation whose roots are − 2.5 and 8.5.
Question # 19
Simplify the Equation:
Question # 20
The expression 4 x2 − p x + 7 leaves a remainder of − 2 when divided by x − 3 . Find the value of p.
Question # 21
If g and h are the roots of the equation: What is the value of?
Question # 22
Find the condition that may have roots equal in magnitude but opposite in signs.
Question # 23
Form the equation whose roots are 7 + √ 3 and 7 − √ 3
Question # 24
Evaluate: ω28 + ω29 + 1.
Question # 25
Form the equation whose roots are 5 + 4 √ 2 and 5 − 4 √ 2.
Question # 26
Find the remainder when 4 x3 − 5 x + 1 is divided by 2 x − 1.
Question # 27
Ahsan had been told to write a quadratic equation where the sum of the roots is equal to − 3 and the product of the roots is equal to − 9 . Which equation meets these requirements?
Question # 28
If α and β are the roots of the equation then find the value of:
Question # 29
If α and β are the roots of the equation then form the equation whose roots are?
Question # 30
What is the equation whose roots are 5 + √ 2 and 5 − √2.
Question # 31
Sum of all three cube roots of unity is _____.
Question # 32
Solve Equation:
Question # 33
Simplify the:
Question # 34
Solve the:
Question # 35
Solve:
Question # 36
Question # 37
Product of three cube roots of unity is/are _____.
Question # 38
Calculate the discriminant of the given quadratic equation: y = x2 − 1.
Question # 39
Simplify:
Question # 40
Find the remainder when 4 x3 − 5 x + 1 is divided by x − 2 .
Question # 41
Find the condition that one root of x2 + p x + q = 0 is additive inverse of the other.
Question # 42
Simplify
Question # 43
Calculate the discriminant of the given quadratic expression: x2 + 4 x − 5
Question # 44
The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively and a right angle triangle is formed. The side of the equilateral triangle is _____.
Total Questions
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Question # 1
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 2
If ω is imaginary cube root of unity, then ω is equal to _____.
Question # 3
If α and β are the roots of the equation then form the equation whose roots are?
Question # 4
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 5
The area of a rectangular field is 297 sq.m. Had it been 3 meters longer and one meter shorter, the area would had been 3 square meters more. Find the length and breadth.
Question # 6
Discuss the nature of the roots of the quadratic equation 2 x2 − 8 x + 3 = 0.
Question # 7
If the roots of the quadratic equation p x 2 + q x + r = 0 are reciprocals of one another, then which of the following is true?
Question # 8
Find the remainder when 4x3 − 5 x + 1 is divided by x − 2.
Question # 9
Evaluate: ( 1 + ω − ω2 ) ( 1 − ω + ω2 ).
Question # 10
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 11
Find the value of a and b if − 2 and 2 are the roots of the polynomial x3 − 4 x 2 + a x + b.
Question # 12
Find the value of k.
Question # 13
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the sides x and y , x > y , that make the right angle of the triangle.
Question # 14
If g and h are the roots of the equation:
Question # 15
Find the condition that one root of x2 + p x + q = 0 is Square of the other.
Question # 16
Find the condition that one root of x2 + p x + q = 0 is multiplicative inverse of the other.
Question # 17
Solve the Equation:
Question # 18
Form the equation whose roots are − 2.5 and 8.5.
Question # 19
Simplify the Equation:
Question # 20
The expression 4 x2 − p x + 7 leaves a remainder of − 2 when divided by x − 3 . Find the value of p.
Question # 21
If g and h are the roots of the equation: What is the value of?
Question # 22
Find the condition that may have roots equal in magnitude but opposite in signs.
Question # 23
Form the equation whose roots are 7 + √ 3 and 7 − √ 3
Question # 24
Evaluate: ω28 + ω29 + 1.
Question # 25
Form the equation whose roots are 5 + 4 √ 2 and 5 − 4 √ 2.
Question # 26
Find the remainder when 4 x3 − 5 x + 1 is divided by 2 x − 1.
Question # 27
Ahsan had been told to write a quadratic equation where the sum of the roots is equal to − 3 and the product of the roots is equal to − 9 . Which equation meets these requirements?
Question # 28
If α and β are the roots of the equation then find the value of:
Question # 29
If α and β are the roots of the equation then form the equation whose roots are?
Question # 30
What is the equation whose roots are 5 + √ 2 and 5 − √2.
Question # 31
Sum of all three cube roots of unity is _____.
Question # 32
Solve Equation:
Question # 33
Simplify the:
Question # 34
Solve the:
Question # 35
Solve:
Question # 36
Question # 37
Product of three cube roots of unity is/are _____.
Question # 38
Calculate the discriminant of the given quadratic equation: y = x2 − 1.
Question # 39
Simplify:
Question # 40
Find the remainder when 4 x3 − 5 x + 1 is divided by x − 2 .
Question # 41
Find the condition that one root of x2 + p x + q = 0 is additive inverse of the other.
Question # 42
Simplify
Question # 43
Calculate the discriminant of the given quadratic expression: x2 + 4 x − 5
Question # 44
The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively and a right angle triangle is formed. The side of the equilateral triangle is _____.
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344
Math MCQ Test by Topics
- +2.1 Nature of the roots of a quadratic equation
- +2.1.1 Discriminant (b2 - 4ac) of the quadratic expression ax2 + bx + c
- +2.1.2 To find the discriminant of a given quadratic equation
- +2.1.3 Nature of the roots of a quadratic equation through discriminant
- +2.1.4 Determine the nature of the roots of a given quadratic equation and verify the result by solving the equation
- +2.1.5 To determine the value of an unknown involved in a given quadratic equation when nature of its roots is given
- +2.2 Cube Roots of Unity and Their Properties
- +2.2.1 The cube roots of unity
- +2.2.2 Recognise complex cube roots of unity as w and w2
- +2.2.3 Properties of cube roots of unity
- +2.3 Roots and co-efficients of a quadratic equation
- +2.3.1 Relation between roots and co-efficients of a quadratic equation
- +2.3.2 The sum and the product of the roots of a given quadratic equation without solving it
- +2.3.3 To find unknown values involved in a given quadratic equation
- +2.4 Symmetric functions of the roots of a quadratic equation
- +2.4.1 Define symmetric functions of the roots of a quadratic equation
- +2.5 Formation of a quadratic equation
- +2.5.1 Find a quadratic equation from given roots and establish the formula
- +2.5.2 Form quadratic equations whose roots are of the type
- +2.6 Synthetic Division
- +2.6.1 Describe the synthetic division method
- +2.6.2 Use synthetic division to
- +2.7 Simultaneous equations
- +2.7 (i) Solve a system of two equations in two variables
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Updated on: 17-10-2026
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