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ECAT Pre General Science Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 4
The roots of the equations will be equal if b
2
- 4ac is
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Positive
Negative
1
Zero
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Question # 5
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 6
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1
-1
5
2
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Question # 7
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Question # 8
The discriminant of the quadratic equation ax
2
+ bx + c = 0 is
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b
2
+ 4ac
b
2
- 4ac
4ac - b
2
a
2
- 4ac
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Question # 9
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 # 10
If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 11
w
11
= ______
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0
1
w
w
2
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Question # 12
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 13
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Question # 14
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 # 15
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 # 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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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 18
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
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{-1}
{-3/5}
Empty set
{-1/3}
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Question # 19
If a polynomial P(x) is divided by x + a, then the remiander is
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P(a)
P(-a)
P(0)
None of these
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Question # 20
The minimum value of the quadratic function f(x) = 5 x 2-11,is
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7
-7
6
-11
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Question # 21
Each complex cube root of unity is square of
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itself
1
-1
the other
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Question # 22
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 # 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
The maximum value of the quadratic function f(x) = -2x2+20x,is
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4
3
50
7
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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
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1
2
0
-2
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Question # 26
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Question # 27
If
α
,
β
are the roots of ax
2
+ bx + c = 0 and
α
+ h,
β
+ h are the roots of px
2
+ qx + r=0, then h =
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Question # 28
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(-1, 2)
(-1, 1)
(1, 2)
{-1}
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Question # 29
(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 # 30
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 31
5x
3
+ 3x - is a ______
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Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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