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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If sin
θ
and cos
θ
are the roots of the equation ax
2
- bx + c = 0, then a, b, c satisfy the relation
Choose an answer
b
2
- a
2
= 2ac
A
2
- b
2
= 2ac
A
2
+ b
2
= c
2
B
2
+ a
2
= 2ac
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Question # 2
The first three terms in the expansion of (1 + x)
-1
are
Choose an answer
1 + x + x
2
1 - x - x
2
-1 -x + x
2
1 - x + x
2
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Question # 3
For all points (x,y) in first quadrant
Choose an answer
x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 4
The third term in the expansion of (1+2x) is
Choose an answer
-2x2
-4x2
2x2
4x2
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Question # 5
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Question # 6
The sum of co-efficient in (1+x-3x
2
)
4163
is
Choose an answer
0
1
-1
None
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Question # 7
The angle between lines xy =0 is
Choose an answer
45°
60°
90°
180°
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Question # 8
Every set is an improper subset of
Choose an answer
Empty set
Equivalent set
Itself
Singleton set
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Question # 9
Choose an answer
real number
complex number
rational number
irrational number
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Question # 10
The feasible region which can be enclosed within a circle is called
Choose an answer
Bounded region
Convex region
Unbounded region
None
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Question # 11
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Question # 12
For all points (x,y) on x-axis
Choose an answer
x is positive
x is negative
y = 0
y is negative
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Question # 13
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Question # 14
cos
θ/2=
Choose an answer
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Question # 15
Additive inverse of -a -b is
Choose an answer
a
-a + b
a - b
a + b
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Question # 16
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Question # 17
Choose an answer
The law of sines
The law of consines
The law of tangents
None of these
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Question # 18
Choose an answer
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Question # 19
The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is
Choose an answer
y = x
y = x - 1
y = x + 1
y = x + 1
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Question # 20
Choose an answer
2
-1
8
not defined
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Question # 21
Choose an answer
8
9
10
11
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Question # 22
The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is
Choose an answer
A parabola
A circle
An ellipse
A st. line
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Question # 23
Period of cot x is ______
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Question # 24
Choose an answer
none of these
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Question # 25
The tangents drawn from the point P to a circle are real and distinct if
Choose an answer
P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 26
The law of sines can be used to solve oblique triangle when following information is given:
Choose an answer
Two angles and a side
Two sides and an angle opposite one of the given sides
Two sides and the angle between two sided
Option a and b
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Question # 27
Choose an answer
-1
0
1
Undefined
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Question # 28
sin(a + β)+sin(a -β) =_____;
Choose an answer
2cosa cosβ
2sina cosβ
2cosa sinβ
-2sina sinβ
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Question # 29
Which of the following is a vector.
Choose an answer
distance
temperature
energy
acceleration
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Question # 30
The line through the focus and perpendicular to the directrix is called ______ of the parabola
Choose an answer
axis
focal chord
tangent
latus rectum
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Question # 31
The number of proper subset of A ={a.b.c.d} is
Choose an answer
3
6
8
15
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