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

Question # 2

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

Question # 3

If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

Question # 4

If a=5j + 2j,b=2i -3j, then|a+2b|=

Question # 5

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

Question # 6

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

Question # 7

If u = xi + yj, then|u|

Question # 8

The modulus of 12-5i is:

Question # 9

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

Question # 10

If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=

Question # 11

If a,b = 0 then

Question # 12

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

Question # 13

Vector i =

Question # 14

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

Question # 15

If aand bare two vectors then a+b =

Question # 16

The magnitude of vector a 2i-7j is

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 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
2 The vector i = [1,0] is called unit vector along:
A. x-axis
B. y - axis
C. z- axis
D. Botha a and y-axis
3 Vector i =
A. [1,0]
B. [0,1,0]
C. [0,0,1]
D. None of these
4 If a=5j + 2j,b=2i -3j, then|a+2b|=
A. √21
B. √97
C. √39
D. None of these
5 The magnitude of vector a 2i-7j is
A. √23
B. √43
C. 3
D. √53
6 The positive real number which is the measure of the length of a vector is called the
A. Unit vector
B. Modulus
C. Inverse
D. None of these
7 If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:
A. [1,1,1.5]
B. [2,2,1.5]
C. [1.5,1.5,4]
D. None of these
8 The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:
A. π/2
B. -3π/2
C. π
D. None of these
9 The modulus of a vector i-i+ k is:
A. √3
B. 1
C. √2
D. ∞
10 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3

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