Quadratic Equations

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Question 1

What are the roots of the quadratic equation[Tex] ( x^2 - 6x + 9 = 0 )[/Tex]?

  • ( x = 3 ) and ( x = -3 )

  • ( x = 3 ) and ( x = 3 )

  • ( x = -3 ) and ( x = -3 )

  • ( x = 0 ) and ( x = 3)

Question 2

What is discriminant of the equation: x2 - 6x + 9 =

  • 0

  • 36

  • 12

  • 18

Question 3

Find the roots of the equation x2 - 5x + 6 = 0

  • 2,3

  • -2,-3

  • 1,6

  • 5,6

Question 4

Which equation has imaginary roots?

  • x2 + 4x + 5 = 0

  • x2 - 3x + 2 = 0

  • x2 - 6x + 9 = 0

  • x2 - x + 6 = 0

Question 5

If one of root of equation x2 + kx + 6 = 0

  • 5

  • -5

  • 3

  • -3

Question 6

If x = 2 and x= 3 are roots of quadratic equation , what is the equation ?

  • x2 + x - 6 = 0

  • x2 + x + 6 = 0

  • x2 - x + 6 = 0

  • x2 - x - 6 = 0

Question 7

What is sum and product of roots of x2 - 7x + 12 = 0

  • Sum = 7 Product = 12

  • Sum =- 7 Product = - 12

  • Sum = 12 Product = 7

  • Sum = -12 Product = - 7

Question 8

If the discriminant D = 0, what types of root does quadratic equation have ?

  • Real and Unequal

  • Imaginary

  • Real and equal

  • None of these

Question 9

The roots of the equation x2+px+q=0 are in the ratio 2:3. What is the value of p2/q ​?

  • 25

  • 36

  • 49

  • 30

Question 10

What is sum of roots of x2 - 4x + 6 = 0 ?

  • 4

  • -4

  • 6

  • -6

There are 10 questions to complete.

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