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Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
Choose an answer
4
6
8
10
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Question # 2
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 # 3
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 # 4
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Question # 5
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
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(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 6
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
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x+1
2x+1
3x+1
2x-1
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Question # 7
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 8
Another name of quadratic equation is
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Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 9
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0
-1-w
2
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Question # 10
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 11
A quadratic equation has two
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roots
degree
variables
constants
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Question # 12
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 # 13
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 # 14
The sum of the roots of the equation x2 -6x +2 = 0 is
Choose an answer
-6
2
-2
6
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Question # 15
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 # 16
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 17
In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is
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Straight line
Circle
Hyperbola
Symmetric w.r.t.0
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Question # 18
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 19
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Question # 20
If x
2
+ px + 1 is a factor of ax
3
+ bx +c, then
Choose an answer
a
2
+ c
2
= -ab
a
2
- c
2
= -ab
a
2
- c
2
= ab
None of these
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Question # 21
The discriminant of the quadratic equation ax
2
+ bx + c = 0 is
Choose an answer
b
2
+ 4ac
b
2
- 4ac
4ac - b
2
a
2
- 4ac
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Question # 22
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 23
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b = c
a = c
a = c
b = 0
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Question # 24
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
Choose an answer
4
64
8
All values of k
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Question # 25
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
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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 # 26
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
Choose an answer
Negative
Positive
Zero
Nothing can be said
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Question # 27
If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______
Choose an answer
-5
5
0
1
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Question # 28
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 29
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 # 30
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 31
The solution set of x
2
- 5x + 6 = 0 is
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{1, 3}
{2, 3}
{1, 2}
None of these
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