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This mock test of MCQ : Quadratic Equations - 2 for Class 10 helps you for every Class 10 entrance exam.
This contains 10 Multiple Choice Questions for Class 10 MCQ : Quadratic Equations - 2 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Which of the following is not a quadratic equation?

Solution:

2x^{2 }+ 3 + 2√6x + x^{2} = 3x^{2} - 5x

3 + 2√6x + 5x= 0

Which is not a quadratic equation.

QUESTION: 2

Which of the following equations has no real roots ?

Solution:

QUESTION: 3

Which of the following equations has the sum of its roots as 3?

Solution:

QUESTION: 4

(x^{2} + l)^{2} - x^{2} = 0 has

Solution:

QUESTION: 5

The quadratic equation has

Solution:

**We have a quadratic equation: **

If we have standard equation ax^{2} + bx + c then D = b^{2} - 4ac

a= 2, b= -√5, c= 1

D = (-√5)^{2} - (4x2x1)

D= 5 - 8

D = -3

As the value of D<0 so there is no real root

QUESTION: 6

Root of the equation x^{2 }- 0.09 = 0 is

Solution:

x^{2} - 0.09 = 0

x^{2} = 0.09

x = √0.09

x = 0.3

QUESTION: 7

If 1/2 is a root of the equation then the value of k is

Solution:

As 1/2 is a root then it will satisfy the given equation.

Put x = 1/2

1/4 +(k×1/2) - 5/4 =0

k×1/2 =5/4 -1/4

k =2

QUESTION: 8

If the equation x^{2} - kx +9 = 0 does not possess real roots, then

Solution:

QUESTION: 9

Which of the following equations has - 1 as a root?

Solution:

3x² - 2x - 5 = 0

3x² + 3x - 5x - 5 = 0

3x(x+1) - 5(x+1) = 0

(x+1)(3x-5) = 0

x = -1 and 5/3.

Hence roots of given polynomial are -1 and 5/3.

QUESTION: 10

The quadratic equation has

Solution:

As, discriminant (b^{2} - 4ac) of the equation is negative. Therefore, no real roots.

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