Chapter 2 Theory Of Quadratic Equations Math 10th Class Kpk 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
Find the remainder when 4 x3 − 5 x + 1 is divided by 2 x − 1.
Question # 2
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 3
Calculate the discriminant of the given quadratic expression: x2 + 4 x − 5
Question # 4
If α and β are the roots of the equation then find the value of:
Question # 5
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 6
Calculate the discriminant of the given quadratic equation: y = x2 − 1.
Question # 7
If α and β are the roots of the equation then form the equation whose roots are?
Question # 8
Find the value of k.
Question # 9
Solve the Equation:
Question # 10
If α and β are the roots of the equation then form the equation whose roots are?
Question # 11
Find the condition that may have roots equal in magnitude but opposite in signs.
Question # 12
If g and h are the roots of the equation: What is the value of?
Question # 13
What is the equation whose roots are 5 + √ 2 and 5 − √2.
Question # 14
Find the condition that one root of x2 + p x + q = 0 is Square of the other.
Question # 15
Question # 16
Find the condition that one root of x2 + p x + q = 0 is additive inverse of the other.
Question # 17
Form the equation whose roots are − 2.5 and 8.5.
Question # 18
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 # 19
Solve:
Question # 20
If ω is imaginary cube root of unity, then ω is equal to _____.
Question # 21
Form the equation whose roots are 7 + √ 3 and 7 − √ 3
Question # 22
Evaluate: ω28 + ω29 + 1.
Question # 23
Discuss the nature of the roots of the quadratic equation 2 x2 − 8 x + 3 = 0.
Question # 24
Find the remainder when 4x3 − 5 x + 1 is divided by x − 2.
Question # 25
Find the condition that one root of x2 + p x + q = 0 is multiplicative inverse of the other.
Question # 26
Find the remainder when 4 x3 − 5 x + 1 is divided by x − 2 .
Question # 27
Sum of all three cube roots of unity is _____.
Question # 28
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 _____.
Question # 29
Form the equation whose roots are 5 + 4 √ 2 and 5 − 4 √ 2.
Question # 30
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 # 31
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 # 32
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 33
Simplify:
Question # 34
Solve Equation:
Question # 35
Simplify the Equation:
Question # 36
Solve the:
Question # 37
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 # 38
If g and h are the roots of the equation:
Question # 39
Product of three cube roots of unity is/are _____.
Question # 40
Simplify
Question # 41
Simplify the:
Question # 42
Evaluate: ( 1 + ω − ω2 ) ( 1 − ω + ω2 ).
Question # 43
The expression 4 x2 − p x + 7 leaves a remainder of − 2 when divided by x − 3 . Find the value of p.
Question # 44
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?
Total Questions
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Question # 1
Find the remainder when 4 x3 − 5 x + 1 is divided by 2 x − 1.
Question # 2
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 3
Calculate the discriminant of the given quadratic expression: x2 + 4 x − 5
Question # 4
If α and β are the roots of the equation then find the value of:
Question # 5
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 6
Calculate the discriminant of the given quadratic equation: y = x2 − 1.
Question # 7
If α and β are the roots of the equation then form the equation whose roots are?
Question # 8
Find the value of k.
Question # 9
Solve the Equation:
Question # 10
If α and β are the roots of the equation then form the equation whose roots are?
Question # 11
Find the condition that may have roots equal in magnitude but opposite in signs.
Question # 12
If g and h are the roots of the equation: What is the value of?
Question # 13
What is the equation whose roots are 5 + √ 2 and 5 − √2.
Question # 14
Find the condition that one root of x2 + p x + q = 0 is Square of the other.
Question # 15
Question # 16
Find the condition that one root of x2 + p x + q = 0 is additive inverse of the other.
Question # 17
Form the equation whose roots are − 2.5 and 8.5.
Question # 18
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 # 19
Solve:
Question # 20
If ω is imaginary cube root of unity, then ω is equal to _____.
Question # 21
Form the equation whose roots are 7 + √ 3 and 7 − √ 3
Question # 22
Evaluate: ω28 + ω29 + 1.
Question # 23
Discuss the nature of the roots of the quadratic equation 2 x2 − 8 x + 3 = 0.
Question # 24
Find the remainder when 4x3 − 5 x + 1 is divided by x − 2.
Question # 25
Find the condition that one root of x2 + p x + q = 0 is multiplicative inverse of the other.
Question # 26
Find the remainder when 4 x3 − 5 x + 1 is divided by x − 2 .
Question # 27
Sum of all three cube roots of unity is _____.
Question # 28
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 _____.
Question # 29
Form the equation whose roots are 5 + 4 √ 2 and 5 − 4 √ 2.
Question # 30
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 # 31
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 # 32
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 33
Simplify:
Question # 34
Solve Equation:
Question # 35
Simplify the Equation:
Question # 36
Solve the:
Question # 37
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 # 38
If g and h are the roots of the equation:
Question # 39
Product of three cube roots of unity is/are _____.
Question # 40
Simplify
Question # 41
Simplify the:
Question # 42
Evaluate: ( 1 + ω − ω2 ) ( 1 − ω + ω2 ).
Question # 43
The expression 4 x2 − p x + 7 leaves a remainder of − 2 when divided by x − 3 . Find the value of p.
Question # 44
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?
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344
Math MCQ Test by Topics
- +2.1 Nature of the Roots of a Quadratic Equation
- +2.2 Cube Roots of Unity and Their Properties
- +2.3 Roots and Co-Efficients of a Quadratic Equation
- +2.4 Symmetric Functions of the Roots of a Quadratic Equation.
- +2.5 Formation of a Quadratic Equation
- +2.6 Synthetic Division
- +2.7 Simultaneous Equations
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10th Class Kpk MCQ Tests
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Updated on: 17-10-2026
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