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

Question # 2

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

Question # 3

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

Question # 4

The modulus of 12-5i is:

Question # 5

If aand bare two vectors then a+b =

Question # 6

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

Question # 7

Vector i =

Question # 8

If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=

Question # 9

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

Question # 10

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

Question # 11

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

Question # 12

If u = xi + yj, then|u|

Question # 13

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

Question # 14

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

Question # 15

The magnitude of vector a 2i-7j is

Question # 16

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

Question # 17

If u =[3,-4],then modulus of uis:

Question # 18

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

Question # 19

Vector additon is:

Question # 20

The angle between the vectors u =2i - i + k and v = -i + i is:

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
2 If u = xi + yj, then|u|
A. x2 + y2
B. (x2 +y2)2
C. x2-y2
D. √(x2+y2)
3 a ______quantity is one that possesses both magnitude and direction.
A. Scalar
B. Vector
C. Segment
D. None of these
4 The angle between the vectors u =2i - i + k and v = -i + i is:
A. 3π/2
B. 2π/3
C. 5π/6
D. π/3
5 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
6 If|a| =|b| = |a+b|=1, then|a-b| is equal to:
A. 1
B. √3
C. √2
D. 7
7 If aand bare two vectors then a+b =
A. b + a
B. b - a
C. ab
D. a^ b
8 If G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3
9 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
10 If u =[3,-4],then modulus of uis:
A. 5
B. 5i
C. -5
D. √5

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