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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 2
If (x
1
, y
1
) and (x
2
,
y
2
) are the end points of a diameter then the centre of the circle is
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Question # 3
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 4
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Question # 5
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 6
For all points (x,y) in third quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 7
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15
15 i
-15 i
-15
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Question # 8
The Principal value of sin-1 (-1/1/2)
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π/2
-π/2
π
-π
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Question # 9
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Question # 10
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 11
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Question # 12
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 13
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 14
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 15
If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?
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0
2
4
7
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Question # 16
If n is a negative integer n! is
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1
0
Unique
Not defined
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Question # 17
In polar form of complex number r =
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Question # 18
The number of x-intercepts of y= sin x in his period
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0
1
2
3
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Question # 19
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Question # 20
If
α
,
β
are the roots of ax
2
+ bx + c = 0 and
α
+ h,
β
+ h are the roots of px
2
+ qx + r=0, then h =
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Question # 21
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Question # 22
(a,b) +(-a,-b) =
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(0,0)
(a,b)
(-a,-b)
(1,1)
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Question # 23
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 24
If cos
α
= 4/5, then cos
α
/2
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Question # 25
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none of these
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Question # 26
cos h
2
x + sin h
2
x
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 27
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 28
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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Question # 29
The harmonic mean between a and b is
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Question # 30
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8
1/56
56
None of these
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Question # 31
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