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Online Tests
ECAT Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
the largest degree of the terms in the polynomials is called
Choose an answer
terms of the polynomial
degree of a polynomial
co-efficient
monomial
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Question # 2
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 3
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 4
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 5
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 6
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 # 7
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Question # 8
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 # 9
The product of cube roots of unity is
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Zero
1
-1
None of these
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Question # 10
Choose an answer
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 # 11
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 # 12
w
28
+ w
38
= ______
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0
1
w
-1
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Question # 13
Roots of the equation x
2
- x = 2 are
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{2, -1}
{1, 0}
{2, 1}
{-2, 1}
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Question # 14
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 15
Another name of quadratic equation is
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Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 16
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 # 17
If one root of the equation x
2
- 3x + a = 0 is 2 then a = ______
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0
1
2
3
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Question # 18
The expression x2 - x + 1 has
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One proper linear factor
No proper linear factor
Two proper linear factors
None of these
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Question # 19
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 # 20
The product of the four fourth roots of unity is
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0
1
-1
None of these
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Question # 21
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 # 22
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 # 23
The roots of the equation 2
2x
- 10.2
x
+ 16 = 0 are
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2, 8
1, 3
1, 8
2, 3
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Question # 24
(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 # 25
If b
2
- 4ac = 0 then the roots of the equation are
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Real and distinct
Real and equal
Imaginary
None of these
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Question # 26
If f(x) = ax
2
, and a>0, then the lowest point on the parabola is called.
Choose an answer
Vertex of parabola
Co-ordinates of parabola
Roots of the equation
Coefficient of the equation
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Question # 27
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
Choose an answer
b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 28
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
Choose an answer
0
a
3
2a
3
-2a
3
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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
Choose an answer
b = c
a = c
a = c
b = 0
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