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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is
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12
š
9
š
7
š
-120
š
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Question # 2
If distance of (a,b) from x-axis is 2 then
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a = 2
b = 2
a = b
b = 4
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Question # 3
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Question # 4
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Question # 5
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Question # 6
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 7
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0
1
undefined
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Question # 8
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 9
(a,0) x (c,0) =
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(0,ac)
(ac,0)
(0,0)
(a,c)
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Question # 10
Sec 30Ā° = ______
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Question # 11
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 12
The Principal value of sin-1 (-1/1/2)
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Ļ/2
-Ļ/2
Ļ
-Ļ
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Question # 13
If Z
1
= 1+ i, Z
2
= 2+3i , then |Z
1
-Z
2
| =?
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ā5
ā7
-1-2i
ā3
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Question # 14
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 15
The centre fo the circle x
2
+ y
2
+ 12x -10 = 0 is
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(12, -10)
(6, -5)
(-12, 10)
(-6, 5)
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Question # 16
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 17
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3
2
8
0
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Question # 18
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0
90Ā°
180Ā°
360Ā°
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Question # 19
The graph of linear equation 2x + 3y = 10
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Parabola
Circle
Hyperbola
Straight line
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Question # 20
If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:
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x
2
= 4y -32
x
2
=8y -32
y
3
= 16 x
x2 + 8y =32
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Question # 21
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Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 22
The law of consines is
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Question # 23
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all are correct
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Question # 24
Domain of 1+cot2Īø=csc2Īø is
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[0,Ļ]
R-{x/x=nĻ,nā z}
(-ā,+ā)
[-1,1]
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Question # 25
If Aā©B=B, then n(Aā©B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 26
F(x) = x
x
decreases in the interval
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(0, e)
(0, 1)
(-
ā
,0)
None
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Question # 27
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Question # 28
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Question # 29
The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is
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Question # 30
A sequence of number whose reciprocals form an arithmetic sequence is called
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Geometric sequence
Arithmetic series
Harmonic sequence
Harmonic series
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Question # 31
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
1
- Z
2
| = ?
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