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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
cos(a +β)-cos(a-β) = _______;
Choose an answer
2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 2
Sin 45° = ______
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Question # 3
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Question # 4
1 radian = ______
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180°
90°
57.296°
60°
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Question # 5
(n + 2) (n + 1) n= ______
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Question # 6
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1
0
-2
3
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Question # 7
n(n - 1) (n - 2) .... (n - r + 1) = ______
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Question # 8
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 9
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Question # 10
w
15
= ______
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0
1
w
w
2
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Question # 11
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 12
(√3+√5)+√7 = √3 +(√5 +√7) property used in above is
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t to adition
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Question # 13
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1
2
3
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Question # 14
For a positive integer n
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n! = n(n + 1)
n! = n(n+1)!
n! = n(n - 1 )
n! = n(n - 1)!
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Question # 15
If 4
6
P
r
=
6
P
r+1
, then r is equal to
Choose an answer
4
3
2
1
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Question # 16
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2x + 3
x
2
+ 3 + c
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Question # 17
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Question # 18
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Question # 19
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 20
Let P(x
1
, y
1
) and Q(x
2
, y
2
) be two points in the co-ordinate plane. Let d = distance between P and Q
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Question # 21
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Question # 22
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Question # 23
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 24
Tan 360° = _______
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-1
0
1
Undefined
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Question # 25
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Question # 26
The standard parabolic form of the equation f(x) = x
2
+4 x +1 is
Choose an answer
x(x+4)+1
(x+2)
2
-3
(x+4)
3
+ 9
x(x-2)
2
+1
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Question # 27
The eccentricity e of an ellipse is always
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Rational
Real
Irrational
Integer
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Question # 28
Period of Cotangent function is
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π
-π
0
-2π
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Question # 29
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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 # 30
The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is
Choose an answer
2
1
0
None of these
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Question # 31
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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