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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The central angle of an arc of a circle whose length is equal to the radius of the circle is called the
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degree
radian
minute
second
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Question # 2
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Question # 3
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Question # 4
sin (
α
+
β
) - sin (
α -
β
) =
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4 cos
α
sin
β
2 cos
α
sin
β
4 cos
α
cos
β
4 sin
α
sin
β
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Question # 5
Period of Tangent function is
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0°
-
π
π
2
π
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Question # 6
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No solution
One real solution
More than one real solution
None of these
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Question # 7
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
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α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 8
Derivative of x
3
w.r.t x is
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0
1
3x
2
x
3
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Question # 9
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 # 10
If z = (x,y) , then z ̅ =
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(-x,y)
(x,-y)
(-x, -y)
None of these
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Question # 11
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 # 12
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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Question # 13
150°= ______
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Question # 14
If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be
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Hyperbola
Parabolas
Ellipses
None of these
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Question # 15
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1
2
-1
0
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Question # 16
Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
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Zero
one
negative constant
Non negative constant
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Question # 17
Which of the following is a vector.
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energy
force
work
power
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Question # 18
The number of standard parabolic functions are is
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4
2
3
1
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Question # 19
The 7th term of (3
8
+ 6
4
x)
11/4
is
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-19217/3 x
6
189/2 6
4
x
2227/12 x
3
-19712/3 x
6
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Question # 20
If A is a non singular matrix then A
-1
= ______
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Question # 21
Sec 30° = ______
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Question # 22
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Question # 23
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 24
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 25
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 26
A circle passing through the vertices of any triangle is called
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Circumcirle
Incircle
Escribed circle
Unit circle
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Question # 27
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 28
cos(3π/2 +θ) = _____;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 29
{x : xε Z and x < 1} is
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Singleton set
A set with two points
Empty set
None of these
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Question # 30
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-2
-1
1
2
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Question # 31
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