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ECAT Mathematics Online Test MCQs With Answers
Question # 1
sin (
α
+
β
) + sin (
α
-
β
)
Choose an answer
2 sin
α
cos
β
sin (2
α
β)
sin
α
cos
α
None of these
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Question # 2
Period of Cotangent function is
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π
-π
0
-2π
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Question # 3
The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is
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60𝜊
40𝜊
41𝜊
30𝜊
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Question # 4
Period of tan x is ______
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Question # 5
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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Question # 6
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1
2
-2
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Question # 7
The multiplicative inverse of 2/3 is
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3/2
-2/3
-3/2
1
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Question # 8
The central angle of an arc of a circle whose length is equal to the radius of the circle is called the
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degree
radian
minute
second
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Question # 9
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 10
Each point of the feasible region is called
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Solution
feasible solution
Both a & b
None
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Question # 11
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 12
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
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The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 13
If y is an image of x under the function f, then we write
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y = f(x)
x = f(y)
y = x
none of these
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Question # 14
In one hour, the hour hand of a clock turns through
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Question # 15
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Question # 16
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Question # 17
Union of the sets of rational and irrational numbers is called 6th set of
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Natural numbers
Real numbers
Whole numbers
Prime numbers
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Question # 18
By expressing sin 125° in terms of trigonometrical ratios, answer will be
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sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 19
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100
99
0
none of these
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Question # 20
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 21
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 22
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 23
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Question # 24
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An expression
Rational fraction
Equation
Identity
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Question # 25
A line segment whose end points lie on a circle is called
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the secant of the circle
the arc of the circle
the chord of the circle
the circumference of the circle
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Question # 26
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
Choose an answer
5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 27
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none of these
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Question # 28
For any real numbers x,y,xy=o ⇒
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x ≠ 0 ∧ y ≠ 0
x = 0 ∨ y = 0
x = 0
y = 0
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Question # 29
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 30
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 31
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