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
Choose an answer
Previous
Skip
Next
Question # 2
The maximum value of the quadratic function f(x) = -2x2+20x,is
Choose an answer
4
3
50
7
Previous
Skip
Next
Question # 3
The vertex of the graph of the quadratic function f(x) = x2 -10, is
Choose an answer
(0 , -10)
(-10,0)
(10,0)
(0,10)
Previous
Skip
Next
Question # 4
Which of the following is factor of x11+a11, where n is an odd integer
Choose an answer
x-a
x+a
2x-a
2x+a
Previous
Skip
Next
Question # 5
If 2x
1/3
+ 2x
-1/3
= 5, then x is equal to
Choose an answer
1 or -1
2 or 1/2
8 or 1/8
4 or 1/4
Previous
Skip
Next
Question # 6
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
Previous
Skip
Next
Question # 7
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 # 8
The equation (cos p - 1)x
2
+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval
Choose an answer
(0, 2
π
)
(-
π
, -0)
(0,
π
)
None of these
Previous
Skip
Next
Question # 9
Choose an answer
Previous
Skip
Next
Question # 10
Roots of the equation x
2
+ 5x - 1 = 0 are
Choose an answer
Rational
Irrational
Complex
None of these
Previous
Skip
Next
Question # 11
If w is a cube root of unity then 1 + w + w
2
= ______
Choose an answer
1
2
0
-1
Previous
Skip
Next
Question # 12
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 # 13
Choose an answer
(a - c)
2
= b
2
- c
2
(a - c)
2
= b
2
+ c
2
(a + c)
2
= b
2
- c
2
(a + c)
2
= b
2
+ c
2
Previous
Skip
Next
Question # 14
For any integer k, w
n
= ______ when n = 3k
Choose an answer
1
2
0
-4
Previous
Skip
Next
Question # 15
If x
3
+ 4x
3
- 2x +5 is divided by x - 1, then the reminder is
Choose an answer
8
6
4
None of these
Previous
Skip
Next
Question # 16
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
Choose an answer
x+1
2x+1
3x+1
2x-1
Previous
Skip
Next
Question # 17
Choose an answer
0
1
2
3
Previous
Skip
Next
Question # 18
The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in
Choose an answer
Previous
Skip
Next
Question # 19
The polynomial x - a is a factor of the polynomial f(x) if and only if
Choose an answer
f(a) is positive
f(a) is negative
f(a) = 0
None of these
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 x
4
- 10x
2
- 2x + 4 is divided by x + 3, then the reminder is
Choose an answer
1
0
4
None of these
Previous
Skip
Next
Question # 22
w
11
= ______
Choose an answer
0
1
w
w
2
Previous
Skip
Next
Question # 23
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 # 24
if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is
Choose an answer
-i
2 + i
i
2 - i
Previous
Skip
Next
Question # 25
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 # 26
w
-1
= ______
Choose an answer
0
1
w
w
2
Previous
Skip
Next
Question # 27
Choose an answer
Previous
Skip
Next
Question # 28
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
Previous
Skip
Next
Question # 29
The sum of the roots of the equation x2 -6x +2 = 0 is
Choose an answer
-6
2
-2
6
Previous
Skip
Next
Question # 30
Choose an answer
b = c
a = c
a = c
b = 0
Previous
Skip
Next
Question # 31
Choose an answer
Previous
Skip
Next
Back