ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 23

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

If aand bare two vectors then a+b =

Question # 6

Vector i =

Question # 7

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

Question # 8

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

Question # 9

O (0,0)is called:

Question # 10

If a,b = 0 then

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

If u = xi + yj, then|u|

Question # 16

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

Question # 17

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

Question # 18

a ______quantity is one that possesses both magnitude and direction.

Question # 19

If|a| =|b| = |a+b|=1, then|a-b| is equal to:

Question # 20

Vector additon is:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

The modulus of 12-5i is:

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 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
2 Vector additon is:
A. Commutative
B. Associative
C. Commutative and Associative
D. None of these
3 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
4 The modulus of 12-5i is:
A. 7
B. 13
C. √7
D. 119
5 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
6 a ______quantity is one that possesses both magnitude and direction.
A. Scalar
B. Vector
C. Segment
D. None of these
7 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
8 If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
A. 4
B. 6
C. 5
D. 3
9 If a,b = 0 then
A. a |b
B. a||b
C. a = b
D. None
10 The magnitude of vector a 2i-7j is
A. √23
B. √43
C. 3
D. √53

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