Quadratic Equations Test

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Quadratic Equations Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Every quadratic polynomial can have at most

A
three zeros

B
one zero

C
two zeros

D
none of these
Question 2
1 / -0

For ax² + bx + c = 0, which of the following statement is wrong?

A
If b² – 4ac is a perfect square, the roots are rational.

B
If b² = 4ac , the roots are real and equal.

C
If b² – 4ac is negative, no real roots exist.

D
If b² = 4ac , the roots are real and unequal.
Question 3
1 / -0

The roots of the equation 9x² – bx + 81 = 0 will be equal, if the value of b is

A
± 9

B
± 18

C
± 27

D
± 54
Question 4
1 / -0

The value of p for equation 2x² – 4x + p = 0 to have real roots will be

A
p ≤ –2

B
p ≥ 2

C
p ≤ 2

D
p ≥ –2
Question 5
1 / -0

If p = 1 and q = –2 are roots of equation x² – px + q = 0 , then quadratic equation will be

A
x² + 2x –1= 0

B
x² – x – 2 = 0

C
x² – 2x + 1= 0

D
x² + x + 2 = 0
Question 6
1 / -0

Roots of quadratic equation x² – 3x = 0 , will be

A
3

B
0, –3

C
0, 3

D
none of these
Question 7
1 / -0

Value of D when root of ax² + bx + c = 0 are real and unequal will be

A
D ≥ 0

B
D > 0

C
D < 0

D
D = 0
Question 8
1 / -0

Positive value of p for which equation x² + px + 64 = 0 and x² – 8x + p = 0 will both have real roots will be

A
p ≥ 16

B
p ≤ 16

C
p = 16

D
none of these
Question 9
1 / -0

If the equation x² – kx + 1, have no real roots, then

A
–2 < k < 2

B
–3 < k < 3

C
k > 2

D
k < –2

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Quadratic Equations Test - 3

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Quadratic Equations Test - 3

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Question 1

three zeros

one zero

two zeros

none of these

Question 2

If b2 – 4ac is a perfect square, the roots are rational.

If b2 = 4ac , the roots are real and equal.

If b2 – 4ac is negative, no real roots exist.

If b2 = 4ac , the roots are real and unequal.

Question 3

± 9

± 18

± 27

± 54

Question 4

p ≤ –2

p ≥ 2

p ≤ 2

p ≥ –2

Question 5

x2 + 2x –1= 0

x2 – x – 2 = 0

x2 – 2x + 1= 0

x2 + x + 2 = 0

Question 6

3

0, –3

0, 3

none of these

Question 7

D ≥ 0

D > 0

D < 0

D = 0

Question 8

p ≥ 16

p ≤ 16

p = 16

none of these

Question 9

–2 < k < 2

–3 < k < 3

k > 2

k < –2

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If b² – 4ac is a perfect square, the roots are rational.

If b² = 4ac , the roots are real and equal.

If b² – 4ac is negative, no real roots exist.

If b² = 4ac , the roots are real and unequal.

x² + 2x –1= 0

x² – x – 2 = 0

x² – 2x + 1= 0

x² + x + 2 = 0