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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
Choose an answer
0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 2
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 3
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image
pre-image
constant
none of these
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Question # 4
A square matrix A for which A
t
= A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 5
In any triangle ABC,with usual notationαsinβ =____;
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b sinα
bsinβ
αsinα
None of these
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Question # 6
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 7
The straight line passing through the focus and perpendicular to the directrix of the conic is known as its
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Tangent
axis
Focal chord
major or manor axis
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Question # 8
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Question # 9
If z = (x,y) , then z ̅ =
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(-x,y)
(x,-y)
(-x, -y)
None of these
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Question # 10
In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x
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35
36
48
49
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Question # 11
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 12
Tangent is a periodic function and its period is ______
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2
π
3
π
π
4
π
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Question # 13
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R
2R
r
2r
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Question # 14
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 15
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Question # 16
In R, the multiplicative identity is
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0
1
-1
None
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Question # 17
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Question # 18
∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a
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Symmetric property
Cancellation property w.r.t multiplication
Reflexive property
Transitive property
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Question # 19
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 20
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Lies between 4 and 7
Lies between 5 and 9
Has no value between 4 and 7
Has no value between 5 and 9
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Question # 21
How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108
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8
6
7
36
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Question # 22
For a positive integer n
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n! = n(n + 1)
n! = n(n+1)!
n! = n(n - 1 )
n! = n(n - 1)!
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Question # 23
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 24
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Question # 25
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Question # 26
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Question # 27
Period of tan x is ______
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Question # 28
(n + 2) (n + 1)n in factorial form is
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Question # 29
The point lying on the terminal rat of -270° is
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(1,0)
(0,-1)
(0,1)
(-1,0)
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Question # 30
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 31
The period of the function f(x) = sin
4
x + cos
4
x is
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π
π
/2
2
π
None of these
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