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ECAT Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
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Question # 2
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 3
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Lies between 4 and 7
Lies between 5 and 9
Has no value between 4 and 7
Has no value between 5 and 9
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Question # 4
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 # 5
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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Question # 6
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 # 7
A quadratic equation has two
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roots
degree
variables
constants
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Question # 8
If f(x) = ax
2
, and a>0, then the lowest point on the parabola is called.
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Vertex of parabola
Co-ordinates of parabola
Roots of the equation
Coefficient of the equation
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Question # 9
Another name of quadratic equation is
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Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 10
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 11
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(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 # 12
x
4
- 3x
3
+ 3x + 1 = 0 is called ______
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 13
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Question # 14
If 3x
4
+ 4x
3
+ x - 5 is divided by x + 1, then the reminder is
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0
7
-7
5
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Question # 15
The roots of the equation ax
2
+ bx + c = 0 are real and equal if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 16
If a parabola opens down, then its vertex is at the
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Right of the parabola
Left of parabola
Lowest point on the parabola
Highest point on the parabola
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Question # 17
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 18
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 19
(2 + w) (2 + w
2
) = ______
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1
2
3
0
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Question # 20
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 # 21
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
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3
-3
2
0
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Question # 22
The standard parabolic form of the equation f(x) = x
2
+4 x +1 is
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x(x+4)+1
(x+2)
2
-3
(x+4)
3
+ 9
x(x-2)
2
+1
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Question # 23
Which of the following is factor of x11+a11, where n is an odd integer
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x-a
x+a
2x-a
2x+a
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Question # 24
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
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k=0
k=1
k=w
k=w2
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Question # 25
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
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2
1
-1
-2
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Question # 26
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 # 27
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 28
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 29
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 30
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0
1
2
3
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