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State Level Maths Quiz (EM) by Aski Sir GHS KOTTALAGI

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

The quadratic equation has degree

a)

0

b)

1

c)

2

d)

3

2.

An standard form of quadratic equation is

a)

ax² + bx + c = 0 here a≠0

b)

ax² × bx × c = 0 here a≠0

c)

ax² - bx - c = 0 here a≠0

d)

ax² + bx × c = 0 here a≠0

3.

The formula for finding the roots of a quadratic equation is

a)

x =[ -b ± √(b²+4ac) ] / 2a

b)

x =[ b ± √(b²-4ac) ] / 2a

c)

x =[ -b ± √(b²-4ac) ] / 2

d)

x =[ -b ± √(b²-4ac) ] / 2a

4.

√(3x²+6) = 9

The positive root of this equation is

a)

0

b)

2

c)

4

d)

5

5.

A quadratic equation can have maximum number of roots are

a)

1

b)

2

c)

3

d)

4

6.

When writing the equation m(m-1) = 6 into the standard form of the quadratic equation, it becomes

a)

m² - m - 3 = 0

b)

m² - m - 6 = 0

c)

m² + m + 3 = 0

d)

m² + m + 6 = 0

7.

Discriminant of a quadratic equation is

a)

b² - 4ac

b)

b² + 4ac

c)

b² × 4ac

d)

b² ÷ 4ac

8.

If a quadratic equation discriminant, b² - 4ac = 0 then that quadratic equation

a)

Has two distinct real roots.

b)

Has two equal real roots

c)

Has no real roots

d)

None of the above

9.

2x² - 5x + 3 = 0 , the roots of this quadratic equation are

a)

Real and distinct

b)

Real and equal

c)

Not real

d)

All of the above

10.

3x² + 6x - 2 = 0 The value discriminant of this quadratic equation is

a)

12

b)

24

c)

50

d)

60

11.

x² - 7x + 12 = 0 The roots of this quadratic equation are

a)

x = 3 & x = -4

b)

x = 3 & x = 4

c)

x = -3 & x = 4

d)

x = -3 & x = -4

12.

If 2x² + Kx + 3 = 0 equation has equal roots, then value of k is

a)

± 2√3

b)

± 2√2

c)

± 2√6

d)

± 24

13.

The value of the discriminant of equation x² + 4x + 4 = 0 is

a)

< 0

b)

> 0

c)

= 0

d)

= 1

14.

If the roots of the equation ax² + bx + c = 0 are equal, then the value of b is

a)

± 2ac

b)

± 2√(ac)

c)

± √(2ac)

d)

± ac

15.

The area of rectangular plot is 528 m². The length of the plot is one more than twice its breadth. Express this situation in the form of quadratic equation

a)

2x² + x + 528 = 0

b)

2x² + x - 528 = 0

c)

2x² - x - 528 = 0

d)

2x² - x + 528 = 0