More Classes
5th Class
6th Class
7th Class
8th Class
9th Class
10th Class
11th Class
12th Class
NAT I
NAT II
CSS
IQ
General Knowledge
MDCAT
ECAT
GAT General
GAT Subject
Other Links
Go to Home
Online Tests
Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
The root of the quadratic equation are
Choose an answer
3
2
1
4
Previous
Skip
Next
Question # 2
If ax + bx + c =0 is satisfied by every value of x,then
Choose an answer
b = 0,c = 0
c = 0
b = 0
a = b = c = 0
Previous
Skip
Next
Question # 3
Roots of the equation 9x
2
- 12x + 4 = 0 are
Choose an answer
Real and equal
Real and distinct
Complex
None of these
Previous
Skip
Next
Question # 4
Choose an answer
Previous
Skip
Next
Question # 5
If the roots of ax
2
+ b = 0 are real and distinct then
Choose an answer
ab > 0
a = 0
ab < 0
a > 0, b > 0
Previous
Skip
Next
Question # 6
The sum of the roots of the equation x2 -6x +2 = 0 is
Choose an answer
-6
2
-2
6
Previous
Skip
Next
Question # 7
Choose an answer
Previous
Skip
Next
Question # 8
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
Choose an answer
p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
Previous
Skip
Next
Question # 9
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
Previous
Skip
Next
Question # 10
If x
2
- 7x + a has remainder 1 when divided by x + 1, then a = ______
Choose an answer
-7
7
0
None of these
Previous
Skip
Next
Question # 11
The minimum value of the quadratic function f(x) = 5 x 2-11,is
Choose an answer
7
-7
6
-11
Previous
Skip
Next
Question # 12
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
Choose an answer
Infinitely many roots
Exactly two roots
Exactly four roots
No roots
Previous
Skip
Next
Question # 13
Choose an answer
(-1, 2)
(-1, 1)
(1, 2)
{-1}
Previous
Skip
Next
Question # 14
Sum of all the four forth roots of unity is
Choose an answer
1
-1
i
0
Previous
Skip
Next
Question # 15
Choose an answer
Polynomial of degree 0
Polynomial of degree 2
Quadratic equation
None of these
Previous
Skip
Next
Question # 16
If a > 0, b > 0, c > 0, then the roots of the equation ax
2
+ bx + c = 0 are
Choose an answer
Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
Previous
Skip
Next
Question # 17
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
Previous
Skip
Next
Question # 18
Choose an answer
Previous
Skip
Next
Question # 19
Choose an answer
1
2
0
4
Previous
Skip
Next
Question # 20
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
Previous
Skip
Next
Question # 21
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
Previous
Skip
Next
Question # 22
Choose an answer
Polynomial of degree 0
Polynomial of degree 1
Polynomial of degree 2
Polynomial of degree n
Previous
Skip
Next
Question # 23
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
Choose an answer
x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
Previous
Skip
Next
Question # 24
Choose an answer
Previous
Skip
Next
Question # 25
If b
2
- 4ac is positive then the roots of the equation are
Choose an answer
Real
Imaginary
Positive
Negative
Previous
Skip
Next
Question # 26
Choose an answer
Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
Previous
Skip
Next
Question # 27
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
Choose an answer
Previous
Skip
Next
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
Previous
Skip
Next
Question # 29
w
73
= ______
Choose an answer
0
1
w
w
2
Previous
Skip
Next
Question # 30
Choose an answer
0
-1-w
2
Previous
Skip
Next
Question # 31
In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is
Choose an answer
Straight line
Circle
Hyperbola
Symmetric w.r.t.0
Previous
Skip
Next
Back