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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Sin -1 x=
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sin(π/2-x)
Sin-1 (π/2-x)
π/2-cos-1x
π/2 + cos-1x
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Question # 2
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Question # 3
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 4
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 # 5
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2
4
3
16
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Question # 6
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Question # 7
0! = ______
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0
1
2
Not defined
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Question # 8
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2C
C
3
1
0
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Question # 9
The additive inverse of 1 is
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1
-1
0
Does not exist
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Question # 10
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Question # 11
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Question # 12
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Question # 13
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 # 14
The equation |x + 4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 15
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 16
QUQ, =
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N
R
W
Z
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Question # 17
The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is
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x
2
+ y
2
+ z
2
+ 2 ax +2 by + 2cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2cz = 0
x
2
+ y
2
+ z
2
- ax - by - cz = 0
x
2
+ y
2
+ z
2
+ ax + by + cz = 0
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Question # 18
x = ________ is in the solution of 2x - 3 < 0
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2
-2
3
4
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Question # 19
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none of these
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Question # 20
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Question # 21
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Question # 22
A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is
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Question # 23
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a
2a
3a
4a
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Question # 24
The feasible region which can be enclosed within a circle is called
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Bounded region
Convex region
Unbounded region
None
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Question # 25
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Lies between 4 and 7
Lies between 5 and 9
Has no value between 4 and 7
Has no value between 5 and 9
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Question # 26
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Question # 27
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1
-1
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Question # 28
Cos 0° = ______
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-1
0
1
Undefined
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Question # 29
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Question # 30
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Question # 31
Which is a proper rational fraction
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