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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 2
(2.02)4 s equal to
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16
16.6496
17
18
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Question # 3
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 4
If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is
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Obtuse
Acute
Right angle
Isosceles
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Question # 5
i
101
=
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i
i
2
-i
-1
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Question # 6
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 7
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Question # 8
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none of these
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Question # 9
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1
0
5
2
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Question # 10
With usual notations b2 = a2 + c2 -2ac cos is called______;
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None of these
Law of sines
Law of consines
Law of tangents
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Question # 11
(1,0) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 3
x - 2y < -5
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Question # 12
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 13
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 14
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 15
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(a + b)c = ac + bc
a + b = b + a
(a + b) + c = a + (b + c)
a(b +c) = ab + ac
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Question # 16
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Question # 17
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
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3
-3
2
0
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Question # 18
A triangle has six
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side
elements
angle
tangents
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Question # 19
Which of the following is a quadrantal angle
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30°
45°
60°
90°
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Question # 20
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Question # 21
A relation in which the equality is true only for some values of the known is called ______
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An identity
An equation
A polynomial
None of these
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Question # 22
If A and B are two sets then any subset R of B x A is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 23
The range of the tangent function is
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all real numbers
-1 ≤ x ≥ 1
natural number
z
+
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Question # 24
sin (2
π
-
θ
)
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cos
θ
sin
θ
tan
θ
-sin
θ
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Question # 25
Any horizontal line divided the plane into
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Left half plane
Upper and lower half planes
Infinite number of horizontal liens
None of these
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Question # 26
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 27
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
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3
4
5
None of these
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Question # 28
If f(x) = x
3
- 2x
2
+ 4x -1, then f(-2) = ?
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0
-25
5
45
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Question # 29
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 30
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
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10
66
71
106
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Question # 31
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