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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 2
The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
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x + y + z - 15 = 0
x - y + z - 15 = 0
x - y - z - 15 = 0
x + y + z + 15 = 0
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Question # 3
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Question # 4
If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =
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5
{-3,-2,-1,0,1,2,3,4,5,6}
8
9
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Question # 5
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Question # 6
The parametric equation of a curve are x = t
2
, y = t
3
then
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Question # 7
Range of sin
θ
is
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Question # 8
The equation of the normal to the circle x
2
+ y
2
= 25 at (4, 3) is
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3x - 4y =0
3x - 4y =5
4x + 3y = 5
4x + 3y = 25
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Question # 9
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Question # 10
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 11
2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called
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Associative property
Identity property
Commutative property
Closure property w.r.t multiplication
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Question # 12
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 13
If A is an event then which of the following is true
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P(A)<0
0≥P(A)≤1
P(A)>0
None
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Question # 14
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 15
Intersection of two parabolas
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parabola
Two points
Four points
Hyperobla
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Question # 16
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Rational
Irrational
Even
Odd
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Question # 17
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none of these
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Question # 18
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Question # 19
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Question # 20
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all
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Question # 21
The point ________ is in the solution of the inequality 2x - 3y > 5
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(1, -1)
(2,2)
(0,0)
(3,0)
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Question # 22
The eccentricity of the parabola y
2
= -8x is
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-2
2
-1
1
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Question # 23
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Question # 24
Every relation, which can be represented by a linear equation in two variables, represents a
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Relation
Cartesian product
Function
Graph
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Question # 25
The set (Z, +) forms a group
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Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 26
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Question # 27
The set of all antiderivaties of f(= ∫f(x)dx) is the
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Definite integral
Indefinite integral
Integral
Area
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Question # 28
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 29
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 30
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 31
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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