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

Question # 1

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

5 A
5i B
-5 C
√5 D

Question # 2

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 # 3

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 # 4

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

√3 A
1 B
√2 C
∞ D

Question # 5

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

1 A
2 B
-1 C
-3 D

Question # 6

If u = xi + yj, then|u|

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

Question # 7

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 # 8

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

1 A
√3 B
√2 C
7 D

Question # 9

Vector additon is:

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

Question # 10

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 # 11

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 # 12

If a,b = 0 then

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

Question # 13

O (0,0)is called:

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

Question # 14

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 # 15

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 # 16

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

3 A
√35 B
√17 C
√35 D

Question # 17

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

4 A
6 B
5 C
3 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

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 20

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 # 21

Vector i =

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

Question # 22

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

√13 A
√7 B
1/√13 C
√29 D

Question # 23

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 24

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 # 25

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 26

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

0 A
1 B
-1 C
3 D

Question # 27

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 28

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 # 29

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 # 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 vector k = [0,0,1] is called unit vector along:	A. x -axis B. y - axis C. z- axis D. None of these
2	If u =[3,-4],then modulus of uis:	A. 5 B. 5i C. -5 D. √5
3	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
4	The modulus of a vector i-i+ k is:	A. √3 B. 1 C. √2 D. ∞
5	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 60^o D. neither parallel nor perpendicular
6	If a=5j + 2j,b=2i -3j, then\|a+2b\|=	A. √21 B. √97 C. √39 D. None of these
7	If u = xi + yj, then\|u\|	A. x² + y² B. (x² +y²)² C. x²-y² D. √(x²+y²)
8	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
9	If a,b = 0 then	A. a \|b B. a\|\|b C. a = b D. None
10	If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =	A. 4 B. 1/2 C. 3 D. 4/3

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

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

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

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

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

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

If u = xi + yj, then|u|

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

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

Vector additon is:

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

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

If a,b = 0 then

O (0,0)is called:

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

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

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

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

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

The modulus of 12-5i is:

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

Vector i =

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

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

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

a ______quantity is one that possesses both magnitude and direction.

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

The magnitude of vector a 2i-7j is

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

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

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