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Online Tests
ECAT Mathematics Online Test MCQs With Answers
Question # 1
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 2
An ellipse slides between two lines at right angles to one another. The locus of its centre is :
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a parabola
an ellipse
a circle
a hyperbola
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Question # 3
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 4
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0
1
13
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Question # 5
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 6
The product of complex numbers (a,b) and (c,d) is
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(ac, bd)
(ac-bd, ad+bc)
(ab,cd)
(ac+bd,ad-bc)
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Question # 7
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 8
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 9
Domain of sec x is ______
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Question # 10
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Question # 11
If sin
θ
and cos
θ
are the roots of the equation ax
2
- bx + c = 0, then a, b, c satisfy the relation
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b
2
- a
2
= 2ac
A
2
- b
2
= 2ac
A
2
+ b
2
= c
2
B
2
+ a
2
= 2ac
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Question # 12
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l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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Question # 13
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Question # 14
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 15
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0
-1
1
1/2
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Question # 16
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 17
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 18
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 19
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c/a
-c/a
b/a
-b/a
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Question # 20
If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is
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1
3
2
4
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Question # 21
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 22
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π
π / 2
π / 3
π / 4
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Question # 23
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 24
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
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> or <
>
or
<
= or≠
= or >
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Question # 25
Which of the following sets in infinite
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The set of students of your class
The set of all schools in Pakistan
The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
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Question # 26
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 27
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 28
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
Choose an answer
π
/ 3
π
/ 2
π
/ 6
π
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Question # 29
The period of tan [x/3] is ______
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2
π
4
π
3
π
5
π
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Question # 30
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A finite non-empty set
Null set
Both a and b
None of these
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Question # 31
The mid point of the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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