Chapter 2 Theory Of Quadratic Equations Math 10th Class Federal MCQ Tests
10th Class Math Chapter 2 MCQ Tests
Chapter 2 of 10th Class Math has 35 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: 35
Total Marks: 35
Time: 35 Mins
Total Questions: 35
Total Marks: 35
Time: 35 Mins
35Min : 00 Sec Remaining
Question # 1
Calculate the discriminant of the given quadratic equation: y = x2 − x − 2.
Question # 2
If ( x − 2 ) and ( x + 1 ) are factors of x3 + px2 + qx + 2. Find the values of p and q.
Question # 3
Find the value of a and b if − 2 and 2 are the roots of the polynomial x3 − 4 x2 + ax + b.
Question # 4
Find the condition that one root of x2 + px + q = 0 is double the other.
Question # 5
Solve:
Question # 6
Solve the equation x3 − 12 x2 + 39 x − 28 = 0 whose roots are in arithmetic progression.
Question # 7
What are the sum and product of the roots of the quadratic equation x2 − 12 x + 24 = 0 ?
Question # 8
What is the equation whose roots are 5 + √2 and 5 − √2.
Question # 9
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 10
Sum of all three cube roots of unity is _____.
Question # 11
Find the Solution:
Question # 12
What are the sum and product of the roots of the equation.
Question # 13
Solve the.
Question # 14
Solve
Question # 15
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 # 16
Calculate the discriminant of the given quadratic expression: x2 + 4.
Question # 17
Form the equation whose roots are 7 + √3 and 7 − √3.
Question # 18
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 # 19
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 20
Form the equation whose roots are −2.5 and 8.5.
Question # 21
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 # 22
Solve the quadratic equation of roots.
Question # 23
If α and β are the roots of the equation:
Question # 24
Find the remainder when 4 x3 − 5x + 1 is divided by 2x − 1.
Question # 25
For what value of m will the roots of the given equation ( m + 1 ) x2 + 2 ( m + 3 ) x + m + 8 = 0 be equal?
Question # 26
Use synthetic division to find the value of p and q if x + 1 and x − 2 are the factors of the polynomial x3 + px2 + q x + 6 .
Question # 27
If α and β are the roots of the equation then form the equation whose roots are:
Question # 28
What are the sum and product of the roots of the cubic equation x3 + 4 x 2 − 10 x − 18 = 0 ?
Question # 29
The sum of the squares of two consecutive real numbers is 61. Find the numbers.
Question # 30
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 31
Solution:
Question # 32
Product of three cube roots of unity is/are _____.
Question # 33
Solve
Question # 34
Evaluate:
Question # 35
If g and h are the roots of the equation: x2 − 6x + 6 = 0 . What is the value of g2 + h2 ?
Total Questions
1234567891011121314151617181920212223242526272829303132333435
Question # 1
Calculate the discriminant of the given quadratic equation: y = x2 − x − 2.
Question # 2
If ( x − 2 ) and ( x + 1 ) are factors of x3 + px2 + qx + 2. Find the values of p and q.
Question # 3
Find the value of a and b if − 2 and 2 are the roots of the polynomial x3 − 4 x2 + ax + b.
Question # 4
Find the condition that one root of x2 + px + q = 0 is double the other.
Question # 5
Solve:
Question # 6
Solve the equation x3 − 12 x2 + 39 x − 28 = 0 whose roots are in arithmetic progression.
Question # 7
What are the sum and product of the roots of the quadratic equation x2 − 12 x + 24 = 0 ?
Question # 8
What is the equation whose roots are 5 + √2 and 5 − √2.
Question # 9
Calculate the discriminant of the given quadratic equation: y = x2 − 2 x + 1.
Question # 10
Sum of all three cube roots of unity is _____.
Question # 11
Find the Solution:
Question # 12
What are the sum and product of the roots of the equation.
Question # 13
Solve the.
Question # 14
Solve
Question # 15
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 # 16
Calculate the discriminant of the given quadratic expression: x2 + 4.
Question # 17
Form the equation whose roots are 7 + √3 and 7 − √3.
Question # 18
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 # 19
Find the nature of the roots of the equation x2 − 18 x + 81 = 0 without actually solving them.
Question # 20
Form the equation whose roots are −2.5 and 8.5.
Question # 21
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 # 22
Solve the quadratic equation of roots.
Question # 23
If α and β are the roots of the equation:
Question # 24
Find the remainder when 4 x3 − 5x + 1 is divided by 2x − 1.
Question # 25
For what value of m will the roots of the given equation ( m + 1 ) x2 + 2 ( m + 3 ) x + m + 8 = 0 be equal?
Question # 26
Use synthetic division to find the value of p and q if x + 1 and x − 2 are the factors of the polynomial x3 + px2 + q x + 6 .
Question # 27
If α and β are the roots of the equation then form the equation whose roots are:
Question # 28
What are the sum and product of the roots of the cubic equation x3 + 4 x 2 − 10 x − 18 = 0 ?
Question # 29
The sum of the squares of two consecutive real numbers is 61. Find the numbers.
Question # 30
The sum of the squares of two consecutive even real numbers is 52. Find the numbers.
Question # 31
Solution:
Question # 32
Product of three cube roots of unity is/are _____.
Question # 33
Solve
Question # 34
Evaluate:
Question # 35
If g and h are the roots of the equation: x2 − 6x + 6 = 0 . What is the value of g2 + h2 ?
Total Questions
1234567891011121314151617181920212223242526272829303132333435
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 Federal MCQ Tests
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Updated on: 17-05-2026
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