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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If x
2
+ px + 1 is a factor of ax
3
+ bx +c, then
Choose an answer
a
2
+ c
2
= -ab
a
2
- c
2
= -ab
a
2
- c
2
= ab
None of these
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Question # 2
Domain of sec x is ______
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Question # 3
0! = ______
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0
1
2
Not defined
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Question # 4
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Question # 5
The 5th term of (3a-2b)
-1
is
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77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 6
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Question # 7
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3
6
0
None of these
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Question # 8
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Question # 9
The sum of complex number (a,b) and (c,d) is
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Question # 10
E-radius corresponding to < B is
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Question # 11
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Question # 12
There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is
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n
P
m
n
C
m
x (m - 1) !
n-1
P
m
None of these
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Question # 13
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
Choose an answer
Hyperbola
Parabolas
Ellipses
None of these
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Question # 14
Domain of y = cot x = ______
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Question # 15
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Question # 16
A Series which does not coverage to a Unique sum is called
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Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 17
If all members of a sequence are real numbers then it is called a
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Series
Function
Real sequence
Range
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Question # 18
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 19
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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Question # 20
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 21
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sec 5x + c
- sec 5x + c
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Question # 22
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
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50
25
10
100
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Question # 23
The set of natural no. is closed under
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multiplication
subtraction
difference
division
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Question # 24
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Question # 25
The period of sin x/2 = Cos x/3 is
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2p
12p
13p
7p
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Question # 26
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Question # 27
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
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10
20
12
1
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Question # 28
(fog)′(x) =f′(g(x))g′(x) is derivative by
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Chain rule
Reciprocal rule
Power rule
Product rule
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Question # 29
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Question # 30
A triangle which is not right is called an ______ triangle
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Acute
Obtuse
Oblique
None of these
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Question # 31
Which of the following is the subset of all sets
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Φ
{1,2,3}
{Φ}
{0}
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