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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

The magnitude of vector a 2i-7j is

Question # 9

If u = xi + yj, then|u|

Question # 10

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

Question # 11

Vector i =

Question # 12

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

Question # 13

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

Question # 14

The modulus of 12-5i is:

Question # 15

If aand bare two vectors then a+b =

Question # 16

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

Question # 17

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

Question # 18

If a,b = 0 then

Question # 19

O (0,0)is called:

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

Vector additon is:

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Class Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 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
2 O (0,0)is called:
A. Position vector
B. Free vector
C. Unite vector
D. Null vector
3 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
4 If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =
A. -i -15j
B. i-15j
C. i-3j
D. None of these
5 Vector additon is:
A. Commutative
B. Associative
C. Commutative and Associative
D. None of these
6 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
7 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
8 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
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 G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3

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