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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The locus of the centre of a circle which touches two given circles externally is:
Choose an answer
a hyperbola
an ellipse
a circle
a parabola
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Question # 2
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 # 3
Every natural number is
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A prime number
An irrational number
An integer
An even number
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Question # 4
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Question # 5
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Question # 6
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 7
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
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(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 8
The domain of the function x/x
2
-4 is given by
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R
R + 2
[R - (
+
2)
R-4
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Question # 9
(a, b) + (-a, -b) =
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(0,0)
(a, b)
(-a, -b)
(1, 1)
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Question # 10
In set builder notation the set {0, 1, 2, ............, 100} can be written as
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Question # 11
The√ is used for the
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Positive square root
Negative square root
+ve and -ve square root
Whole number
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Question # 12
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Question # 13
The point (x
1
, y
1
) lies outside the circle x
2
+ y
2
+ 2gx + 2fy + c =0 if
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Question # 14
sin (sin
-1
(1/2))=
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0
2
∞
1/2
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Question # 15
A circle which touches one side of a triangle externally and the other two sides produced is called ______
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In-circle
Circum cirle
Escribed circle
None of these
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Question # 16
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Question # 17
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none of these
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Question # 18
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Question # 19
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Question # 20
If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 21
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sec 5x + c
- sec 5x + c
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Question # 22
The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is
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50 cm/sec
60 cm/sec
61 cm/sec
None of these
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Question # 23
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0
U
u/2
log u
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Question # 24
If S is a sample space and event set E =Φ then P(E) is
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>0
1
<1
0
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Question # 25
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Question # 26
The parabolay2=4ax open up if
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a<0
a≠0
a>0
All are incorrect
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Question # 27
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 28
Which is not a half plane
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ax + by < c
ax + by > c
Both A and B
None
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Question # 29
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Question # 30
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 31
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(g,f)
(-g,f)
(g,-f)
(-g,-f)
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