ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 23

Question # 1

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

3 A
√35 B
√17 C
√35 D

Question # 2

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

3π/2 A
2π/3 B
5π/6 C
π/3 D

Question # 3

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 4

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

Orthogonal A
Collinear B
Perpendicular C
None of these D

Question # 5

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

-i -15j A
i-15j B
i-3j C
None of these D

Question # 6

If u = xi + yj, then|u|

x² + y² A
(x² +y²)² B
x²-y² C
√(x²+y²) D

Question # 7

O (0,0)is called:

Position vector A
Free vector B
Unite vector C
Null vector D

Question # 8

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

√2 A
√3 B
1 C
None of these D

Question # 9

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

x-axis A
y - axis B
z- axis C
Botha a and y-axis D

Question # 10

If aand bare two vectors then a+b =

b + a A
b - a B
ab C
a^ b D

Question # 11

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

√21 A
√97 B
√39 C
None of these D

Question # 12

If a,b = 0 then

a |b A
a||b B
a = b C
None D

Question # 13

Vector additon is:

Commutative A
Associative B
Commutative and Associative C
None of these D

Question # 14

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

Orthogonal A
Collinear B
Perpendicular C
None of these D

Question # 15

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

0 A
1 B
-1 C
3 D

Question # 16

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

0 A
m+n
B
m▁a+n▁a C
ma - m▁a
D

Question # 17

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

1 A
2 B
-1 C
-3 D

Question # 18

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 19

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

[1,1,1.5] A
[2,2,1.5] B
[1.5,1.5,4] C
None of these D

Question # 20

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 21

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

4 A
1/2 B
3 C
4/3 D

Question # 22

Vector i =

[1,0] A
[0,1,0] B
[0,0,1] C
None of these D

Question # 23

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

√3 A
1 B
√2 C
∞ D

Question # 24

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 25

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

Parallel to each other A
Perpendicular to each other B
Inclined at 60^o C
neither parallel nor perpendicular D

Question # 26

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

1 A
√3 B
√2 C
7 D

Question # 27

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

π/2 A
-3π/2 B
π C
None of these D

Question # 28

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

Unit vector A
Modulus B
Inverse C
None of these D

Question # 29

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

5 A
5i B
-5 C
√5 D

Question # 30

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

√13 A
√7 B
1/√13 C
√29 D

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	a ______quantity is one that possesses both magnitude and direction.	A. Scalar B. Vector C. Segment D. None of these
3	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
4	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
5	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
6	If a,b = 0 then	A. a \|b B. a\|\|b C. a = b D. None
7	The modulus of a vector i-i+ k is:	A. √3 B. 1 C. √2 D. ∞
8	If a=5j + 2j,b=2i -3j, then\|a+2b\|=	A. √21 B. √97 C. √39 D. None of these
9	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119
10	The magnitude of vector a=i-3j+5k is:	A. 3 B. √35 C. √17 D. √35

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ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 23

MCQ's Test For ECAT Mathematics Chapter 23 Conic Section

ECAT Mathematics Chapter 23 Conic Section

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

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

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

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

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

If u = xi + yj, then|u|

O (0,0)is called:

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

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

If aand bare two vectors then a+b =

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

If a,b = 0 then

Vector additon is:

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

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

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

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

The magnitude of vector a 2i-7j is

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

a ______quantity is one that possesses both magnitude and direction.

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

Vector i =

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

The modulus of 12-5i is:

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

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

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

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

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

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

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