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Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
w
29
= ______
Choose an answer
0
1
w
w
2
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Question # 2
A quadratic equation has two
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roots
degree
variables
constants
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Question # 3
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Question # 4
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
Choose an answer
8
-16
-64
16
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Question # 5
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 6
The quadratic formula is
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Question # 7
(x-1) is a factor of
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2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 8
If w is a cube root of unity then 1 + w + w
2
= ______
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1
2
0
-1
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Question # 9
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
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0
2
1
5
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Question # 10
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(-1, 2)
(-1, 1)
(1, 2)
{-1}
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Question # 11
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 12
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 13
For any integer k, w
n
= ______ when n = 3k
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1
2
0
-4
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Question # 14
The equation (cos p - 1)x
2
+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval
Choose an answer
(0, 2
Ï€
)
(-
Ï€
, -0)
(0,
Ï€
)
None of these
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Question # 15
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 16
Roots of the equation x
2
+ 2x + 3 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 17
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Question # 18
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 19
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Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
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Question # 20
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Question # 21
If a polynomial P(x) is divided by x - a, then the remainder is
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P(o)
P(-a)
P(a)
None of these
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Question # 22
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
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1
2
0
-2
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Question # 23
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 24
Which of the following is a factor of x
3
- 3x
2
+ 2x - 6
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x + 2
x + 3
x - 3
x - 4
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Question # 25
4
1+x
+ 4
1-x
= 10 is called
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 26
If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder
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7
-2
6
1
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Question # 27
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 28
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4
6
8
10
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Question # 29
If 3x
4
+ 4x
3
+ x - 5 is divided by x + 1, then the reminder is
Choose an answer
0
7
-7
5
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Question # 30
The roots of the equation x2 +6x-7=0,are
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1
2
1 and -7
-7
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Question # 31
The product of the four fourth roots of unity is
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0
1
-1
None of these
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