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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 2
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 3
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A
B
A'B'
B'A
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Question # 4
The equation of the tangent at vertex to the parabola is y2 = -8(x -3)
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y=0
x=3
x=1
x=5
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Question # 5
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 6
If distance of (a,b) from origin is 5 then
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a
2
+ b
2
=5
a = 5
b = 5
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Question # 7
Sine rule for a triangle states that
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a/sin A = b/sin B = c/sin C
sin A/a = sin B/b = sin C/c
a/sin A + b/sin B + c/sin C
2a/sin A = 2b/sin B = 2c/sin C
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Question # 8
The number of standard parabolic functions are is
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4
2
3
1
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Question # 9
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Question # 10
120° degrees are equal to how many radians?
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Question # 11
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 12
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1
3
2-i
-1
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Question # 13
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Free vector
Null vector
Unit vector
None of these
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Question # 14
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t. to addition
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Question # 15
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Question # 16
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 17
If C={p/p < 18, p is a prime number}, then C =
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{2,3,4,.........17}
{2,4,6,8................16}
{1,3,5,7,9,11,13,15,17}
{3,6,9,12,15}
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Question # 18
The area of sector with central angle of 1 radian in a circular region whose radius is 2m is
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0.5m2
2m2
1m2
4m2
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Question # 19
If A is an event then which of the following is true
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P(A)<0
0≥P(A)≤1
P(A)>0
None
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Question # 20
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
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q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 21
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 # 22
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
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Degree
Second
Minute
Radian
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Question # 23
The corner point of the boundary lines, x- 2x
x+2y=10 is:
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(8,1)
(1,8)
(6,10)
(3,5)
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Question # 24
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 25
Cos 60° = ______
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1
2
1/2
3
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Question # 26
A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from
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X to X
X to Y
Y to X
none of these
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Question # 27
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5
10
20
30
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Question # 28
sin
-1
x =
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tan
-1
x
Cosec
-1
x
Cosec x
cosec
-1
(1/x)
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Question # 29
In the interval 0≤ x ≤ π, the sine is
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Not a function
Not defined
Infinity
Not one-to-one function
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Question # 30
Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)
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xcosθ+ysinθ =5
xcosθ -ysinθ =0
xsinθ -ycosθ =0
None of these
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Question # 31
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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