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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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sec 3x + c
- cosec 3x + c
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Question # 2
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 3
1st four terms of the expansion (1-x)
-2
are
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1 + 2x + 3x
2
+ 4x
3
3x
2
+ 2x + 1
1 + 3x + 4x
2
+ 5x
3
None of these
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Question # 4
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100
99
0
none of these
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Question # 5
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 # 6
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 7
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Question # 8
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Question # 9
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Question # 10
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Question # 11
If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in
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A.M
G.M
H.M
G.P
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Question # 12
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
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{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 13
cos(a +β)-cos(a-β) = _______;
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2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 14
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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Question # 15
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 16
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 17
Three points whose position vector a,b,c are collinear
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axb +b x c+ c x a = 0
a,b +b,c +c,a =0
a,|a xc| =0
a+b+c =0
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Question # 18
What is the probability of being born on Wednesday?
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1/7
1/2
1/3
1/8
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Question # 19
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 20
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Question # 21
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Question # 22
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Question # 23
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Question # 24
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Question # 25
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Question # 26
Range of sin x is ______
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[-1, 1]
R
Negative real numbers
None of these
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Question # 27
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Question # 28
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x
3
3x
2
3x
3
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Question # 29
The conic is a parabola, when:
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ᵨ > 1
ᵨ < 1
ᵨ = 1
ᵨ = 0
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Question # 30
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 31
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