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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
The law of sines
The law of consines
The law of tangents
None of these
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Question # 2
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 3
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
Choose an answer
(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 4
Sec
-1
x =
Choose an answer
Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 5
The number of points of intersection of two curves y = 2 sin x and y = 5x
2
+ 2x + 3 is
Choose an answer
0
1
2
None of these
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Question # 6
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Question # 7
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 8
(a, b) + (-a, -b) =
Choose an answer
(0,0)
(a, b)
(-a, -b)
(1, 1)
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Question # 9
The roots of the equation will be irrational if b
2
- 4ac is
Choose an answer
Positive and perfect square
Positive but not a perfect square
Negative
Zero
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Question # 10
Choose an answer
3/4
-3/4
4/3
-4/3
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Question # 11
The roots of ax2 + bx + c = 0 are always unequal if
Choose an answer
b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 12
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Question # 13
If x
3
- x
2
+ 5x
+ 4 is divided by x - 2, then the reminder is
Choose an answer
0
2
18
14
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Question # 14
System of linear equation is inconsistent if
Choose an answer
System has no solution
System has one solution
System has two solution
None of above
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Question # 15
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
Choose an answer
a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 16
If the trace of matrix A is 5, then the trace of the matrix 3A is
Choose an answer
3/5
5/3
8
15
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Question # 17
The general solution of tan 3x = 1 is
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Question # 18
The area enclosed between the graph y = x
2
-4x and the x- axis is:
Choose an answer
20/3
41/3
32/3
25/3
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Question # 19
If a
n
= 2n -3, write the first four terms
Choose an answer
-3, -1, 1, 3
1, 3, 5, 7
-1, 1, 3, 5
None of these
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Question # 20
If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =
Choose an answer
5
{-3,-2,-1,0,1,2,3,4,5,6}
8
9
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Question # 21
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Question # 22
A stationary point x is a relative exterma of y= f(x) is
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f′′ (x) > 0
f′′ (x) < 0
f′′ (x) ≠ 0
f′′(x) = 0
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Question # 23
The vertex of the graph of the quadratic function f(x) = x2 -10, is
Choose an answer
(0 , -10)
(-10,0)
(10,0)
(0,10)
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Question # 24
Which element is the additive inverse of (a, b) in Complex numbers?
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(a, 0)
(0, b)
(a, b)
(-a, -b)
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Question # 25
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Question # 26
If B⊆ A, then complement of B in A is = -----------------------
Choose an answer
A-B
A∩B
B-A
A∪B
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Question # 27
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 =
Choose an answer
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Question # 28
If the roots of ax2 + b =0 are real and distinct then
Choose an answer
ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 29
The number of x-intercepts of y= sin x in his period
Choose an answer
0
1
2
3
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Question # 30
Choose an answer
π / 3
π / 4
π / 6
0
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Question # 31
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