Quadratic Equation [MCQ-01]

RULES FOR THE QUIZ

• All the questions need to be answer.
• For 1 correct question you will get +1 mark.
• For 1 incorrect question you will get -0.25 mark.

Q1: What is the standard form of a quadratic equation?

ax² + bx + c = 0 x² - 2x² + 5x = 0 3x + 4 = 0 None of these

Q2: What is the name of the formula used to find the roots of a quadratic equation?

Discriminant Vertex formula Quadratic formula Cubic formula

Q3: What is the maximum number of real roots a quadratic equation can have?

0 1 2 3

Q4: What is the nature of the roots of a quadratic equation if the discriminant is zero?

Real and equal Real and distinct Imaginary None of these

Q5: What is the term for the point where the parabola represented by a quadratic equation intersects the x-axis?

Axis of symmetry Vertex Root Discriminant

Q6: What is the term for the highest or lowest point of a parabola represented by a quadratic equation?

Vertex Axis of symmetry Root Discriminant

Q7: What is the graphical representation of a quadratic equation?

Circle Line Parabola Hyperbola

Q8: What is the solution of the quadratic equation x² + 4x - 5 = 0?

x = -5, x = 1 x = -1, x = 5 x = -5, x = -1 x = 1, x = 5

Q9: What is the formula to find the axis of symmetry of a quadratic equation in the form ax² + bx + c?

x = -b/2a x = b/2a x = -b/a x = -a/b

Q10: What is the formula to find the discriminant of a quadratic equation ax² + bx + c = 0?

b² - 4ac 4ab - c² a² + b² + c² None of these

Q11: What is the quadratic formula used to find the roots of a quadratic equation ax² + bx + c = 0?

x = (-b + √(b² - 4ac)) / (2a) x = (-b - √(b² - 4ac)) / (2a) Both a and b None of these

Q12: What is the nature of the roots of a quadratic equation ax² + bx + c = 0 if the discriminant is negative?

Real and distinct Real and equal Imaginary None of these

Q13: Which of the following represents the axis of symmetry of a parabola?

x = -b/2a y = -b/2a x = -2b/a y = -2b/a

Q14: Which of the following is NOT a method to solve a quadratic equation?

Factoring Completing the square Matrix inversion Quadratic formula

Q15: What is the vertex form of a quadratic equation?

y = ax² + bx + c y = a(x - h)² + k y = a(x + h)² + k y = a(x + h)(x - k)

Q16: What is the number of x-intercepts of a quadratic equation if its discriminant is zero?

0 1 2 3

Q17: What is the sum of the roots of a quadratic equation ax² + bx + c = 0?

-b/a c/a -c/a b/a

Q18: What is the product of the roots of a quadratic equation ax² + bx + c = 0?

c/a -c/a b/a -b/a

Q19: What is the name of the process used to convert a quadratic equation into its vertex form?

Factoring Completing the square Square root method Discriminant method

Q20: What is the name of the property that states if a product of two numbers is zero, then at least one of the numbers must be zero?

Commutative property Associative property Distributive property Zero-product property