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
Solve:
Question # 2
If g and h are the roots of the equation: What is the value of?
Question # 3
If α and β are the roots of the equation then find the value of:
Question # 4
Find the value of k.
Question # 5
Find the condition that may have roots equal in magnitude but opposite in signs.
Question # 6
Calculate the discriminant of the given quadratic equation: y = x2 − 1.
Question # 7
Solve the:
Question # 8
Evaluate: ( 1 + ω − ω2 ) ( 1 − ω + ω2 ).
Question # 9
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 # 10
If α and β are the roots of the equation then form the equation whose roots are?
Question # 11
If α and β are the roots of the equation then form the equation whose roots are?
Question # 12
Form the equation whose roots are 7 + √ 3 and 7 − √ 3
Question # 13
Form the equation whose roots are − 2.5 and 8.5.
Question # 14
Simplify the:
Question # 15
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 # 16
Solve the Equation:
Question # 17
Calculate the discriminant of the given quadratic expression: x2 + 4 x − 5
Question # 18
Find the remainder when 4 x3 − 5 x + 1 is divided by 2 x − 1.
Question # 19
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 20
Simplify the Equation:
Question # 21
Evaluate: ω28 + ω29 + 1.
Question # 22
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 # 23
What is the equation whose roots are 5 + √ 2 and 5 − √2.
Question # 24
Form the equation whose roots are 5 + 4 √ 2 and 5 − 4 √ 2.
Question # 25
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 # 26
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 # 27
Find the remainder when 4 x3 − 5 x + 1 is divided by x − 2 .
Question # 28
Sum of all three cube roots of unity is _____.
Question # 29
The expression 4 x2 − p x + 7 leaves a remainder of − 2 when divided by x − 3 . Find the value of p.
Question # 30
Solve Equation:
Question # 31
Product of three cube roots of unity is/are _____.
Question # 32
Find the condition that one root of x2 + p x + q = 0 is additive inverse of the other.
Question # 33
Question # 34
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 35
Simplify:
Question # 36
If ω is imaginary cube root of unity, then ω is equal to _____.
Question # 37
Find the condition that one root of x2 + p x + q = 0 is multiplicative inverse of the other.
Question # 38
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 39
Find the remainder when 4x3 − 5 x + 1 is divided by x − 2.
Question # 40
If g and h are the roots of the equation:
Question # 41
Simplify
Question # 42
Find the condition that one root of x2 + p x + q = 0 is Square of the other.
Question # 43
Discuss the nature of the roots of the quadratic equation 2 x2 − 8 x + 3 = 0.
Question # 44
Find the value of a and b if − 2 and 2 are the roots of the polynomial x3 − 4 x 2 + a x + b.
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344
Question # 1
Solve:
Question # 2
If g and h are the roots of the equation: What is the value of?
Question # 3
If α and β are the roots of the equation then find the value of:
Question # 4
Find the value of k.
Question # 5
Find the condition that may have roots equal in magnitude but opposite in signs.
Question # 6
Calculate the discriminant of the given quadratic equation: y = x2 − 1.
Question # 7
Solve the:
Question # 8
Evaluate: ( 1 + ω − ω2 ) ( 1 − ω + ω2 ).
Question # 9
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 # 10
If α and β are the roots of the equation then form the equation whose roots are?
Question # 11
If α and β are the roots of the equation then form the equation whose roots are?
Question # 12
Form the equation whose roots are 7 + √ 3 and 7 − √ 3
Question # 13
Form the equation whose roots are − 2.5 and 8.5.
Question # 14
Simplify the:
Question # 15
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 # 16
Solve the Equation:
Question # 17
Calculate the discriminant of the given quadratic expression: x2 + 4 x − 5
Question # 18
Find the remainder when 4 x3 − 5 x + 1 is divided by 2 x − 1.
Question # 19
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 20
Simplify the Equation:
Question # 21
Evaluate: ω28 + ω29 + 1.
Question # 22
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 # 23
What is the equation whose roots are 5 + √ 2 and 5 − √2.
Question # 24
Form the equation whose roots are 5 + 4 √ 2 and 5 − 4 √ 2.
Question # 25
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 # 26
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 # 27
Find the remainder when 4 x3 − 5 x + 1 is divided by x − 2 .
Question # 28
Sum of all three cube roots of unity is _____.
Question # 29
The expression 4 x2 − p x + 7 leaves a remainder of − 2 when divided by x − 3 . Find the value of p.
Question # 30
Solve Equation:
Question # 31
Product of three cube roots of unity is/are _____.
Question # 32
Find the condition that one root of x2 + p x + q = 0 is additive inverse of the other.
Question # 33
Question # 34
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 35
Simplify:
Question # 36
If ω is imaginary cube root of unity, then ω is equal to _____.
Question # 37
Find the condition that one root of x2 + p x + q = 0 is multiplicative inverse of the other.
Question # 38
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 39
Find the remainder when 4x3 − 5 x + 1 is divided by x − 2.
Question # 40
If g and h are the roots of the equation:
Question # 41
Simplify
Question # 42
Find the condition that one root of x2 + p x + q = 0 is Square of the other.
Question # 43
Discuss the nature of the roots of the quadratic equation 2 x2 − 8 x + 3 = 0.
Question # 44
Find the value of a and b if − 2 and 2 are the roots of the polynomial x3 − 4 x 2 + a x + b.
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: 17-05-2026
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