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ECAT Mathematics 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
cos 315° = ______
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Question # 3
The distance of the points (3, 4, 5) from y-axis is
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Question # 4
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none of these
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Question # 5
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 6
Which of the following does not represent absolute value of a vector
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magnitude
length
norm
number
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Question # 7
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Question # 8
Tan 2
θ=
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Question # 9
Domain of cos x is ______
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Question # 10
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 # 11
x = 1 is in the solution of the inequality
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x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 12
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 13
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 14
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2x
3x
2
1
0
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Question # 15
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 16
Choose an answer
Associative property of addition
Associative property of multiplication
Commutative property of addition
Commutative property of multiplication
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Question # 17
The exponent of x in 10th term in the expansion of (a+x)n
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10
12
11
9
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Question # 18
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 19
For three consecutive terms in A.P middle term is called
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A.M
nth term
Central term
None of these
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Question # 20
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30°
45°
60°
90°
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Question # 21
If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is
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Question # 22
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k3
0
3k
k6
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Question # 23
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 24
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Question # 25
In any triangle ABC,with usual notationαsinβ =____;
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b sinα
bsinβ
αsinα
None of these
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Question # 26
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 27
The statement that a group can have more than one identity elements is
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True
False
Ambiguous
Some times true
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Question # 28
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Question # 29
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Question # 30
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 31
sin
α=
Choose an answer
2 sin
α
cos
α
2 sin
α
cos
β
2 sin
α
/2 cos
α
/2
1+ tan
2
α
/2
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