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

Question # 1

Vector i =

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

Question # 2

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

√3 A
1 B
√2 C
∞ 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,b = 0 then

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

Question # 6

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 # 7

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

0 A
1 B
-1 C
3 D

Question # 8

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 9

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 # 10

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 # 11

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

5 A
5i B
-5 C
√5 D

Question # 12

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 # 13

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 # 14

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

√13 A
√7 B
1/√13 C
√29 D

Question # 15

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

x -axis A
y - axis B
z- axis C
None of these D

Question # 16

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 # 17

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 18

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

√21 A
√97 B
√39 C
None of these D

Question # 19

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 # 20

If aand bare two vectors then a+b =

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

Question # 21

Vector additon is:

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

Question # 22

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 # 23

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

1 A
2 B
-1 C
-3 D

Question # 24

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 # 25

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

3 A
√35 B
√17 C
√35 D

Question # 26

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 # 27

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 28

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

1 A
√3 B
√2 C
7 D

Question # 29

O (0,0)is called:

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

Question # 30

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

Sr.#	Question	Answer
1	The modulus of a vector i-i+ k is:	A. √3 B. 1 C. √2 D. ∞
2	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119
3	If\|a\| =\|b\|=\|a + b\|=1, then\|a+ b\| = 5, then\|a-b\| =	A. 4 B. 6 C. 5 D. 3
4	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
5	If aand bare two vectors then a+b =	A. b + a B. b - a C. ab D. a^ b
6	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
7	The angle between the vectors u =2i - i + k and v = -i + i is:	A. 3π/2 B. 2π/3 C. 5π/6 D. π/3
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	I f a =5i + 2j, then\|a\| =	A. √13 B. √7 C. 1/√13 D. √29
10	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3

Latest Educational News Stories

Pakistan's Largest Database of Colleges and Universities

BS Programs

University Past Papers

University Results

Exam Results 2024

Study Abroad Programs and Opportunities for Pakistani Students

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

Vector i =

The modulus of a vector i-i+ k 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,b = 0 then

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=

The modulus of 12-5i is:

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

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

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

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

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

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

a ______quantity is one that possesses both magnitude and direction.

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

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

If aand bare two vectors then a+b =

Vector additon is:

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

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

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

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

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

The magnitude of vector a 2i-7j is

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

O (0,0)is called:

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

Prepare Complete Set Wise ECAT Mathematics Chapter 23 Conic Section MCQs Online With Answers

Set 1

Set 2

Topic Test

Top Scorers Of ECAT Mathematics Chapter 23 Conic Section MCQ`s Test

ECAT Mathematics Chapter 23 Important MCQ's

Test Questions