ECAT Pre Engineering MCQ Test With Answer for Chapter 23 Mathematics

MCQ's Test For ECAT Mathematics Chapter 23 Conic Section

Try The MCQ's Test For ECAT Mathematics Chapter 23 Conic Section

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ECAT Mathematics Chapter 23 Conic Section

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Question # 1

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

Question # 2

The positive real number which is the measure of the length of a vector is called the

Question # 3

O (0,0)is called:

Question # 4

The vector k = [0,0,1] is called unit vector along:

Question # 5

The modulus of a vector i-i+ k is:

Question # 6

If aand bare two vectors then a+b =

Question # 7

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

Question # 8

If u = xi + yj, then|u|

Question # 9

I f a =5i + 2j, then|a| =

Question # 10

If a,b = 0 then

Question # 11

If m and n be two scalars, then (m+n) g =

Question # 12

a ______quantity is one that possesses both magnitude and direction.

Question # 13

If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:

Question # 14

Vector additon is:

Question # 15

If G is the centroid of the triangle, then GA +GB+GC=

Question # 16

If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =

Question # 17

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

Question # 18

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

Question # 19

The magnitude of vector a=i-3j+5k is:

Question # 20

If the sum of two unit vectors is a unit vector the the magnitude of their difference is

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 Vector additon is:
A. Commutative
B. Associative
C. Commutative and Associative
D. None of these
2 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
3 a ______quantity is one that possesses both magnitude and direction.
A. Scalar
B. Vector
C. Segment
D. None of these
4 The magnitude of vector a 2i-7j is
A. √23
B. √43
C. 3
D. √53
5 If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:
A. Orthogonal
B. Collinear
C. Perpendicular
D. None of these
6 If a,b = 0 then
A. a |b
B. a||b
C. a = b
D. None
7 If the sum of two unit vectors is a unit vector the the magnitude of their difference is
A. √2
B. √3
C. 1
D. None of these
8 If u = xi + yj, then|u|
A. x2 + y2
B. (x2 +y2)2
C. x2-y2
D. √(x2+y2)
9 If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:
A. Parallel to each other
B. Perpendicular to each other
C. Inclined at 60o
D. neither parallel nor perpendicular
10 Vector i =
A. [1,0]
B. [0,1,0]
C. [0,0,1]
D. None of these

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