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ECAT Pre General Science Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
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 # 2
If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is
Choose an answer
8
12
10
14
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Question # 3
In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are
Choose an answer
6, 10
-6, -10
8, 8
-8, -8
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Question # 4
Choose an answer
Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
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Question # 5
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Question # 6
The roots of the equation x2 +6x-7=0,are
Choose an answer
1
2
1 and -7
-7
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Question # 7
The solution of the quadratic equation x2 -7x + 10=0, is
Choose an answer
2
5
2,5
7
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Question # 8
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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 # 9
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Question # 10
There are ______ basic techniques for solving a quadratic equation
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Two
Three
Four
None of these
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Question # 11
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
Choose an answer
3
5
-3
-5
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Question # 12
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 # 13
If a polynomial P(x) is divided by x + a, then the remiander is
Choose an answer
P(a)
P(-a)
P(0)
None of these
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Question # 14
The minimum value of the quadratic function f(x) = x2 +6x -2, is
Choose an answer
11
6
-11
13
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Question # 15
The roots of the equation ax
2
+ bx + c = 0 are real and equal if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 16
w
4
= ______
Choose an answer
0
1
w
w
2
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Question # 17
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 # 18
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
Choose an answer
b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 19
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 # 20
The root of the quadratic equation are
Choose an answer
3
2
1
4
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Question # 21
The graph of a quadratic function is
Choose an answer
Circle
Ellipse
Parabola
Hexagon
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Question # 22
5x
3
+ 3x - is a ______
Choose an answer
Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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Question # 23
Roots of the equation 2x
2
- 7x + 3 = 0 are
Choose an answer
Rational
Irrational
Complex
None of these
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Question # 24
The product of the four fourth roots of unity is
Choose an answer
0
1
-1
None of these
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Question # 25
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
Choose an answer
a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 26
Choose an answer
Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 27
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 # 28
A polynomial of arbitrary degree
Choose an answer
f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 29
For the equation |x
2
| + |x| -6 =0, the roots are
Choose an answer
One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 30
Choose an answer
4
6
8
10
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Question # 31
If a polynomial P(x) is divided by x - a, then the remainder is
Choose an answer
P(o)
P(-a)
P(a)
None of these
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