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

Question # 2

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

Question # 3

If aand bare two vectors then a+b =

Question # 4

O (0,0)is called:

Question # 5

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

Question # 6

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

Question # 7

If u = xi + yj, then|u|

Question # 8

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

Question # 9

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

Question # 10

If a,b = 0 then

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

Vector additon is:

Question # 16

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

Question # 17

The magnitude of vector a 2i-7j is

Question # 18

The modulus of 12-5i is:

Question # 19

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

Question # 20

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

Question # 21

a ______quantity is one that possesses both magnitude and direction.

Question # 22

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

Question # 23

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

Question # 24

Vector i =

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
2 If G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3
3 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
4 If u =[3,-4],then modulus of uis:
A. 5
B. 5i
C. -5
D. √5
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 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
7 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
8 If aand bare two vectors then a+b =
A. b + a
B. b - a
C. ab
D. a^ b
9 If|a| =|b| = |a+b|=1, then|a-b| is equal to:
A. 1
B. √3
C. √2
D. 7
10 a ______quantity is one that possesses both magnitude and direction.
A. Scalar
B. Vector
C. Segment
D. None of these

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