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

Question # 1

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

√3 A
1 B
√2 C
∞ D

Question # 2

If aand bare two vectors then a+b =

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

Question # 3

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

1 A
√3 B
√2 C
7 D

Question # 4

O (0,0)is called:

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

Question # 5

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these 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 a,b = 0 then

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

Question # 8

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 9

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 # 10

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

5 A
5i B
-5 C
√5 D

Question # 11

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 # 12

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 # 13

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

1 A
2 B
-1 C
-3 D

Question # 14

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 # 15

If u = xi + yj, then|u|

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

Question # 16

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

3 A
√35 B
√17 C
√35 D

Question # 17

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 # 18

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 # 19

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

4 A
6 B
5 C
3 D

Question # 20

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 # 21

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 # 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 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 # 24

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 # 25

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 26

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 27

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

√13 A
√7 B
1/√13 C
√29 D

Question # 28

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

√21 A
√97 B
√39 C
None of these D

Question # 29

Vector i =

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

Question # 30

Vector additon is:

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

Sr.#	Question	Answer
1	If u = xi + yj, then\|u\|	A. x² + y² B. (x² +y²)² C. x²-y² D. √(x²+y²)
2	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
3	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
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	Vector i =	A. [1,0] B. [0,1,0] C. [0,0,1] D. None of these
6	If\|a\| =\|b\|=\|a + b\|=1, then\|a+ b\| = 5, then\|a-b\| =	A. 4 B. 6 C. 5 D. 3
7	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119
8	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
9	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
10	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

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

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

If aand bare two vectors then a+b =

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

O (0,0)is called:

a ______quantity is one that possesses both magnitude and direction.

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

If a,b = 0 then

The modulus of 12-5i is:

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

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

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

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

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

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

If u = xi + yj, then|u|

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

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

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

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

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

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

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

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

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

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

The magnitude of vector a 2i-7j is

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

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

Vector i =

Vector additon is:

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

Is this page helpful?

Share your comments & questions here