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

The modulus of 12-5i is:

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

If aand bare two vectors then a+b =

Question # 11

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

Question # 12

Vector i =

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

If a,b = 0 then

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

a ______quantity is one that possesses both magnitude and direction.

Question # 23

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

Question # 24

Vector additon is:

Question # 25

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

Question # 26

O (0,0)is called:

Question # 27

If u = xi + yj, then|u|

Question # 28

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

Question # 29

The magnitude of vector a 2i-7j is

Question # 30

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 If u =[3,-4],then modulus of uis:
A. 5
B. 5i
C. -5
D. √5
2 If aand bare two vectors then a+b =
A. b + a
B. b - a
C. ab
D. a^ b
3 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
4 If a=5j + 2j,b=2i -3j, then|a+2b|=
A. √21
B. √97
C. √39
D. None of these
5 If u = xi + yj, then|u|
A. x2 + y2
B. (x2 +y2)2
C. x2-y2
D. √(x2+y2)
6 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
7 The magnitude of vector a=i-3j+5k is:
A. 3
B. √35
C. √17
D. √35
8 The vector k = [0,0,1] is called unit vector along:
A. x -axis
B. y - axis
C. z- axis
D. None of these
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 If m and n be two scalars, then (m+n) g =
A. 0
B. m+n

C. m▁a+n▁a
D. ma - m▁a

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