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

Question # 1

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 # 2

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 # 3

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

3 A
√35 B
√17 C
√35 D

Question # 4

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

0 A
1 B
-1 C
3 D

Question # 5

Vector additon is:

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

Question # 6

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

5 A
5i B
-5 C
√5 D

Question # 7

If u = xi + yj, then|u|

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

Question # 8

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

1 A
2 B
-1 C
-3 D

Question # 9

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 # 10

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 # 11

Vector i =

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

Question # 12

O (0,0)is called:

Position vector A
Free vector B
Unite vector C
Null vector 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

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

√3 A
1 B
√2 C
∞ D

Question # 15

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 16

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 # 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

If a,b = 0 then

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

Question # 19

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 # 20

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

1 A
√3 B
√2 C
7 D

Question # 21

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

√21 A
√97 B
√39 C
None of these D

Question # 22

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 # 23

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 # 24

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

√13 A
√7 B
1/√13 C
√29 D

Question # 25

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 # 26

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 # 27

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 28

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 29

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

4 A
6 B
5 C
3 D

Question # 30

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Sr.#	Question	Answer
1	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
2	If u = xi + yj, then\|u\|	A. x² + y² B. (x² +y²)² C. x²-y² D. √(x²+y²)
3	The vector k = [0,0,1] is called unit vector along:	A. x -axis B. y - axis C. z- axis D. None of these
4	If G is the centroid of the triangle, then GA +GB+GC=	A. 0 B. 1 C. -1 D. 3
5	O (0,0)is called:	A. Position vector B. Free vector C. Unite vector D. Null vector
6	a ______quantity is one that possesses both magnitude and direction.	A. Scalar B. Vector C. Segment D. None of these
7	If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =	A. 4 B. 1/2 C. 3 D. 4/3
8	Vector i =	A. [1,0] B. [0,1,0] C. [0,0,1] D. None of these
9	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119
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

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

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

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

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

Vector additon is:

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

If u = xi + yj, then|u|

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

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

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

Vector i =

O (0,0)is called:

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

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

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

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

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

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

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

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

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

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

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

The magnitude of vector a 2i-7j is

The modulus of 12-5i is:

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

a ______quantity is one that possesses both magnitude and direction.

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?