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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The system of measurement in which the angle is measured in radians is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 3
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 4
The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is
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14
2
-2
11
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Question # 5
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
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A.P.
G.P.
H.P.
None of these
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Question # 6
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 7
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Additive property in R
Multiplication property in R
Cancellation property in R
Distribution property in R
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Question # 8
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 9
The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on
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ZOX plane
XOY plane
YOZ plane
None of these
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Question # 10
Cos
-1
12/13 =
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tan
-1
3/5
cot
-1
13/12
Sec
-1
13/12
sin
-1
5/13
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Question # 11
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Question # 12
The area enclosed between the graph y = x
2
-4x and the x- axis is:
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20/3
41/3
32/3
25/3
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Question # 13
A triangle which is not right is called an ______ triangle
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Acute
Obtuse
Oblique
None of these
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Question # 14
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Question # 15
The maximum value of sin x + cos x is
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Question # 16
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Question # 17
The sum of all even numbers less than 100 is
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2450
2352
2272
2468
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Question # 18
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 19
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Question # 20
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-3 -2i
3 +2i
1 + 2i
1 - 2i
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Question # 21
Which of the following has the same value as i
113
?
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i
-1
-i
1
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Question # 22
The transport of a square matrix is a
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 23
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0
-1
1
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Question # 24
The sum of an indicated number of terms in a sequence is called
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sequence
progression
Series
Mean
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Question # 25
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Question # 26
The domain of the principal tan function is
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Question # 27
The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to
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-2
2
3
-1
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Question # 28
cos(a +β)-cos(a-β) = _______;
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2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 29
Φ set is the _______ of all sets
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Subset
Union
Universal
Intersection
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Question # 30
The general term of the A.P. is
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a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 31
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1
2
3
4
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