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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
The foot of perpendicular from (
α
,
β
,
γ
) only y-axis is
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(
α
, 0, 0)
(0,
β
, 0)
(0, 0,
γ
)
(0, 0, 0)
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Question # 3
Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)
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xcosθ+ysinθ =5
xcosθ -ysinθ =0
xsinθ -ycosθ =0
None of these
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Question # 4
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Question # 5
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 6
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Question # 7
Period of cosec x is ______
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Question # 8
A square is inscribed in the circle x
2
+ y
2
- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is
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Question # 9
Which of the following has the same value as i
113
?
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i
-1
-i
1
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Question # 10
The solution set of the equation 1 + Cos x = 0 is __________
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none of these
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Question # 11
x
2
+ x - 5 = 0 is
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A polynomial
An inequality
An identity
None
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Question # 12
If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
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4
6
5
3
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Question # 13
If the sum of two unit vectors is a unit vector the the magnitude of their difference is
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√2
√3
1
None of these
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Question # 14
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Question # 15
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Closure law of addition
Associative law of addition
Commutative law of multiplication
Associative law of multiplication
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Question # 16
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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
Choose an answer
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
The sum of even coefficient in the binomial expansion is
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2
n+1
2
n
2
n-1
2n
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Question # 19
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Question # 20
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 21
i
=
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√1
√2
√-2
√-1
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Question # 22
Derivative of x
3
w.r.t x is
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0
1
3x
2
x
3
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Question # 23
The symbol ______ shall be used both for equation and identity
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Question # 24
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 25
A relation in which the equality is true for all values of the unknown is called ______
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An identity
An equation
A polynomial
None of these
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Question # 26
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 27
The angle between the vectors
u
= [-3 , 5] and
v
= [6 , -2] is:
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π/2
-3π/2
π
None of these
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Question # 28
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5
15
10
20
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Question # 29
If the radius of a circle is increased by 1 then area of circle will be
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π r2
π(r+1)2
π r2 +1
2π (r+1)
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Question # 30
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Question # 31
The null vector is regarded to be perpendicular to
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Every vector
In some cases
Both a b
None
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