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

Question # 1

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 # 2

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 # 3

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 # 4

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

5 A
5i B
-5 C
√5 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

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 8

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 # 9

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 10

Vector i =

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

Question # 11

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 # 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

Vector additon is:

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

Question # 15

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 # 16

O (0,0)is called:

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

Question # 17

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

√3 A
1 B
√2 C
∞ 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|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

4 A
6 B
5 C
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

If a,b = 0 then

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

Question # 22

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

1 A
√3 B
√2 C
7 D

Question # 23

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

0 A
1 B
-1 C
3 D

Question # 24

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 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 = 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 # 27

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 # 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

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

√13 A
√7 B
1/√13 C
√29 D

Question # 30

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

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

Sr.#	Question	Answer
1	If a,b = 0 then	A. a \|b B. a\|\|b C. a = b D. None
2	If G is the centroid of the triangle, then GA +GB+GC=	A. 0 B. 1 C. -1 D. 3
3	Vector additon is:	A. Commutative B. Associative C. Commutative and Associative D. None of these
4	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
5	If\|a\| =\|b\|=\|a + b\|=1, then\|a+ b\| = 5, then\|a-b\| =	A. 4 B. 6 C. 5 D. 3
6	The positive real number which is the measure of the length of a vector is called the	A. Unit vector B. Modulus C. Inverse D. None of these
7	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119
8	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
9	If\|a\| =\|b\| = \|a+b\|=1, then\|a-b\| is equal to:	A. 1 B. √3 C. √2 D. 7
10	The vector k = [0,0,1] is called unit vector along:	A. x -axis B. y - axis C. z- axis 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 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:

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

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

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:

The modulus of 12-5i is:

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

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

Vector i =

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

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=

Vector additon is:

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

O (0,0)is called:

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

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

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

If aand bare two vectors then a+b =

If a,b = 0 then

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

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

The magnitude of vector a 2i-7j is

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

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

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

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

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

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

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

Share your comments & questions here