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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 2
The sum of an indicated number of terms in a sequence is called
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sequence
progression
Series
Mean
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Question # 3
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Question # 4
The direction cosines of any normal to the xy-plane are
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<1, 0, 0>
<0, 1, 0>
<1, 1, 0>
<0, 0, 1>
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Question # 5
Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is
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3 / 17
5 / 17
7 / 17
9 / 17
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Question # 6
Period of 3 sin x is ______
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Question # 7
In (x + iy), y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 8
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-1
0
1
None of these
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Question # 9
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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Question # 10
If sin (
π
cos
θ
) = cos (
π
sin
θ
), then which of the following is correct?
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Question # 11
A function whose range is just one element is called
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One-one function
Constant function
Onto function
Identity function
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Question # 12
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
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1
2
0
-2
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Question # 13
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 14
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 15
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 16
A = B if
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A is equivalent to B
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Question # 17
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Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 18
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0
1
2
4
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Question # 19
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1
2
3
4
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Question # 20
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Question # 21
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Question # 22
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Question # 23
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 24
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0
-1
1
not defined
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Question # 25
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Question # 26
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 27
Arithmetic mean between x - 3 and x + 5 is
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x + 1
x + 2
x + 3
x + 4
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Question # 28
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Question # 29
x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?
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x - y = -6
x - y < -6
x - y > -6
None
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Question # 30
If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then
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k = 2
k = ±2
k = -2
k ≠0
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Question # 31
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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