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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

Vector additon is:

Question # 11

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

Question # 12

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

Question # 13

If aand bare two vectors then a+b =

Question # 14

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

Question # 15

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

Question # 16

If a,b = 0 then

Question # 17

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

Question # 18

If u = xi + yj, then|u|

Question # 19

a ______quantity is one that possesses both magnitude and direction.

Question # 20

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

Question # 21

O (0,0)is called:

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

The magnitude of vector a 2i-7j is

Question # 28

The modulus of 12-5i is:

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 The modulus of a vector i-i+ k is:
A. √3
B. 1
C. √2
D. ∞
2 If u =[3,-4],then modulus of uis:
A. 5
B. 5i
C. -5
D. √5
3 If a,b = 0 then
A. a |b
B. a||b
C. a = b
D. None
4 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
5 If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=
A. 1
B. 2
C. -1
D. -3
6 If G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3
7 If aand bare two vectors then a+b =
A. b + a
B. b - a
C. ab
D. a^ b
8 O (0,0)is called:
A. Position vector
B. Free vector
C. Unite vector
D. Null vector
9 a ______quantity is one that possesses both magnitude and direction.
A. Scalar
B. Vector
C. Segment
D. None of these
10 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

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