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Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
The roots of ax2 + bx + c = 0 are always unequal if
Choose an answer
b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 2
The product of cube roots of unity is
Choose an answer
Zero
1
-1
None of these
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Question # 3
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 # 4
Another name of quadratic equation is
Choose an answer
Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 5
If b
2
- 4ac = 0 then the roots of the equation are
Choose an answer
Real and distinct
Real and equal
Imaginary
None of these
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Question # 6
If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder
Choose an answer
7
-2
6
1
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Question # 7
Choose an answer
Polynomial of degree 0
Polynomial of degree 2
Quadratic equation
None of these
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Question # 8
4
1+x
+ 4
1-x
= 10 is called
Choose an answer
Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 9
w
15
= ______
Choose an answer
0
1
w
w
2
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Question # 10
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 # 11
The graph of the quadratic equation is
Choose an answer
Straight line
Circle
Parabola
elipse
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Question # 12
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
Choose an answer
(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 13
Choose an answer
Linear equation
Quadratic equation
Cubic equation
None of these
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Question # 14
Roots of the equation 9x
2
- 12x + 4 = 0 are
Choose an answer
Real and equal
Real and distinct
Complex
None of these
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Question # 15
The solution of equation x2 + 2 = 0 in the set of real number is
Choose an answer
Infinite set
Singleton set
Null set
None of these
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Question # 16
The product of the four fourth roots of unity is
Choose an answer
0
1
-1
None of these
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Question # 17
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
Choose an answer
Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 18
The root of the quadratic equation are
Choose an answer
3
2
1
4
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Question # 19
If w is a cube root of unity then 1 + w + w
2
= ______
Choose an answer
1
2
0
-1
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Question # 20
The roots of px2 - (p-q)x-q=0 are
Choose an answer
equal
Irrational
Rational
Imaginary
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Question # 21
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
Choose an answer
0
±1
±5
±7
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Question # 22
Choose an answer
2
4
8
16
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Question # 23
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 # 24
w
-1
= ______
Choose an answer
0
1
w
w
2
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Question # 25
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
Choose an answer
1
2
0
-2
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Question # 26
Choose an answer
n if n is even
0 for any natural number n
1 if in odd
None of these
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Question # 27
Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if
Choose an answer
c = 0
c = 0,b≠ 0
b = 0,c = 0
b = 0,c≠ 0
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Question # 28
Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then
Choose an answer
α = β
αβ = 1
α = β
α = 1
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Question # 29
Choose an answer
Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 30
Choose an answer
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Question # 31
There are ______ basic techniques for solving a quadratic equation
Choose an answer
Two
Three
Four
None of these
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