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ECAT Pre General Science Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
The minimum value of the quadratic function f(x) = 5 x 2-11,is
Choose an answer
7
-7
6
-11
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Question # 2
If ax + bx + c =0 is satisfied by every value of x,then
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b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 3
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 # 4
w
-1
= ______
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0
1
w
w
2
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Question # 5
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-1
0
2
1
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Question # 6
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 # 7
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 8
The product of cube roots of unity is
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Zero
1
-1
None of these
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Question # 9
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 # 10
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Question # 11
w
29
= ______
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0
1
w
w
2
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Question # 12
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
Choose an answer
k=0
k=1
k=w
k=w2
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Question # 13
Roots of the equation x
2
+ 7x + 12 = 0 are
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{3, -4}
{-3, 4}
{3, 4}
{-3, -4}
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Question # 14
If a > 0, b > 0, c > 0, then the roots of the equation ax
2
+ 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 # 15
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
Choose an answer
8
-16
-64
16
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Question # 16
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Question # 17
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 18
The roots of the equation 4x - 3.2x+2 + 32 = 0 would include
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1 and 3
1 and 4
1 and 2
2 and 3
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Question # 19
w
15
= ______
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0
1
w
w
2
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Question # 20
Choose an answer
15
9
7
8
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Question # 21
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 # 22
If a polynomial P(x) is divided by x - a, then the remainder is
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P(o)
P(-a)
P(a)
None of these
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Question # 23
The solution of equation x2 + 2 = 0 in the set of real number is
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Infinite set
Singleton set
Null set
None of these
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Question # 24
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 # 25
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 26
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 27
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Question # 28
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 # 29
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 # 30
The roots of ax2+bx+c=0 are
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Rational ⇔ b2 -4 ac ≥ 0
Irrational ⇔ b2-4 ac > 0
Real ⇔ b2-4 ac ≠ 0
Rational⇔ b2-4 ac = 0
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Question # 31
The maximum value of the quadratic function f(x) = -2x2+20x,is
Choose an answer
4
3
50
7
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