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

Vector i =

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

Vector additon is:

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

The magnitude of vector a 2i-7j is

Question # 16

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

Question # 17

If a,b = 0 then

Question # 18

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

Question # 19

O (0,0)is called:

Question # 20

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

Question # 21

If u = xi + yj, then|u|

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

a ______quantity is one that possesses both magnitude and direction.

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

The modulus of 12-5i is:

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 O (0,0)is called:
A. Position vector
B. Free vector
C. Unite vector
D. Null vector
2 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
3 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
4 The vector k = [0,0,1] is called unit vector along:
A. x -axis
B. y - axis
C. z- axis
D. None of these
5 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
6 If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
A. 4
B. 6
C. 5
D. 3
7 If|a| =|b| = |a+b|=1, then|a-b| is equal to:
A. 1
B. √3
C. √2
D. 7
8 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
9 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
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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