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

Question # 1

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 # 2

If a,b = 0 then

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

Question # 3

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 # 4

O (0,0)is called:

Position vector A
Free vector B
Unite vector C
Null vector 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 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 # 7

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

3 A
√35 B
√17 C
√35 D

Question # 8

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

4 A
6 B
5 C
3 D

Question # 9

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 # 10

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 # 11

Vector i =

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

Question # 12

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 13

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

√21 A
√97 B
√39 C
None of these D

Question # 14

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 # 15

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 # 16

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 # 17

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 # 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 = [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

If aand bare two vectors then a+b =

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

Question # 21

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 # 22

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

1 A
√3 B
√2 C
7 D

Question # 23

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

√13 A
√7 B
1/√13 C
√29 D

Question # 24

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

0 A
1 B
-1 C
3 D

Question # 25

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 26

If u = xi + yj, then|u|

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

Question # 27

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment 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

Vector additon is:

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

Question # 30

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

√7 A
√41 B
√19 C
√(2&7) D

Sr.#	Question	Answer
1	The modulus of a vector i-i+ k is:	A. √3 B. 1 C. √2 D. ∞
2	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
3	If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=	A. √7 B. √41 C. √19 D. √(2&7)
4	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
5	a ______quantity is one that possesses both magnitude and direction.	A. Scalar B. Vector C. Segment 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 magnitude of vector a 2i-7j is	A. √23 B. √43 C. 3 D. √53
8	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
9	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3
10	If aand bare two vectors then a+b =	A. b + a B. b - a C. ab D. a^ b

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

If a,b = 0 then

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

O (0,0)is called:

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

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

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

Vector i =

The magnitude of vector a 2i-7j is

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

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

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

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

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

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 aand bare two vectors then a+b =

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

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

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

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

The modulus of 12-5i is:

If u = xi + yj, then|u|

a ______quantity is one that possesses both magnitude and direction.

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

Vector additon is:

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

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