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Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
Choose an answer
b = c
a = c
a = c
b = 0
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Question # 2
The quadratic formula is
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Question # 3
Which of the following is factor of x11+a11, where n is an odd integer
Choose an answer
x-a
x+a
2x-a
2x+a
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Question # 4
Choose an answer
(a - c)
2
= b
2
- c
2
(a - c)
2
= b
2
+ c
2
(a + c)
2
= b
2
- c
2
(a + c)
2
= b
2
+ c
2
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Question # 5
If the roots of ax
2
+ b = 0 are real and distinct then
Choose an answer
ab > 0
a = 0
ab < 0
a > 0, b > 0
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Question # 6
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
Choose an answer
Positive
Negative
Real
None of these
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Question # 7
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
Choose an answer
x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 8
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Question # 9
If a parabola opens down, then its vertex is at the
Choose an answer
Right of the parabola
Left of parabola
Lowest point on the parabola
Highest point on the parabola
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Question # 10
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 11
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 12
(x-1) is a factor of
Choose an answer
2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 13
The synthetic division method is only used to divide a polynomial by
Choose an answer
quadratic equation
binomial
linear equation
monomial
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Question # 14
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
Choose an answer
q = 0, r = 0,p ≠0
p = 0,qr≠0
r = 0,pq≠0
q = 0, pq≠0
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Question # 15
The two parts into which 57 should be divided so that their product is 782 are
Choose an answer
43,14
34,23
33,24
44,13
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Question # 16
The root of the quadratic equation are
Choose an answer
3
2
1
4
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Question # 17
If x
3
- x
2
+ 5x
+ 4 is divided by x - 2, then the reminder is
Choose an answer
0
2
18
14
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Question # 18
If the roots of ax2 + b =0 are real and distinct then
Choose an answer
ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 19
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 20
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
Choose an answer
k=0
k=1
k=w
k=w2
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Question # 21
For the equation |x
2
| + |x| -6 =0, the roots are
Choose an answer
One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 22
(2 + w) (2 + w
2
) = ______
Choose an answer
1
2
3
0
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Question # 23
Choose an answer
Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 24
w
73
= ______
Choose an answer
0
1
w
w
2
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Question # 25
Roots of the equation x
2
+ 7x + 12 = 0 are
Choose an answer
{3, -4}
{-3, 4}
{3, 4}
{-3, -4}
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Question # 26
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 27
If one root of the equation x
2
- 3x + a = 0 is 2 then a = ______
Choose an answer
0
1
2
3
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Question # 28
Roots of the equation x
2
- x = 2 are
Choose an answer
{2, -1}
{1, 0}
{2, 1}
{-2, 1}
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Question # 29
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
Choose an answer
b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 30
The solution set of x
2
- 5x + 6 = 0 is
Choose an answer
{1, 3}
{2, 3}
{1, 2}
None of these
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Question # 31
The roots of the equation ax
2
+ bx + c = 0 are real and equal if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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