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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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π
π / 2
π / 3
π / 4
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Question # 2
∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a
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Symmetric property
Cancellation property w.r.t multiplication
Reflexive property
Transitive property
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Question # 3
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a
1
+ a
2
a
2
1
+ a
2
2
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Question # 4
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 5
In R the number of identity elements w.r.t.'.' is
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One
Two
Three
Four
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Question # 6
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Question # 7
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Question # 8
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
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2:3
-2:3
3:2
-3:2
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Question # 9
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 10
The point which is closet to the focus of a parabola is:
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vertex
Chord
Focus
Directix
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Question # 11
The set R is ______ w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 12
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 13
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1
2
3/2
5/2
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Question # 14
Every real number is
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A complex number
A rational number
A natural number
A prime number
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Question # 15
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Question # 16
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A
-A
A
t
A
-
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Question # 17
The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t
2
the maximum height attained by it =
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Question # 18
Range of sin x is ______
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[-1, 1]
R
Negative real numbers
None of these
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Question # 19
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
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1
0
-1
-2
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Question # 20
The solution set of sin x + cos x = 0 is
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Question # 21
The velocity of a particle moving along a straight line is given by v = 3t + t
2
. The acceleration of the particle after 4 seconds from the start is
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4
11
26
None
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Question # 22
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 23
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sin h x
cos h x
tan h x
cot h x
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Question # 24
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direction ratios
direction cosines
direction angles
none of these
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Question # 25
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Question # 26
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 27
A statement which is either true or false is called
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Induction
Deduction
Propositicon
Logic
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Question # 28
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1
-1
0
I
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Question # 29
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
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a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 30
General solution of tan 5
θ
= cot 2
θ
is
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Question # 31
The coordinates of a point P(x,y) referred to XY-system are
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(x+y,y+k)
(x-h,y-k)
(x,y)
(x-h,y-k)
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