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

Question # 1

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 # 2

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

0 A
1 B
-1 C
3 D

Question # 3

Vector i =

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

Question # 4

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 5

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

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

4 A
6 B
5 C
3 D

Question # 8

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 # 9

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 # 10

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

1 A
2 B
-1 C
-3 D

Question # 11

Vector additon is:

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

Question # 12

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 # 13

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 14

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 # 15

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 # 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

O (0,0)is called:

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

Question # 18

If a,b = 0 then

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

Question # 19

If u = xi + yj, then|u|

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

If aand bare two vectors then a+b =

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

Question # 22

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

5 A
5i B
-5 C
√5 D

Question # 23

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 # 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

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

√13 A
√7 B
1/√13 C
√29 D

Question # 26

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 27

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

1 A
√3 B
√2 C
7 D

Question # 28

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 # 29

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 30

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

3 A
√35 B
√17 C
√35 D

Sr.#	Question	Answer
1	If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =	A. 4 B. 1/2 C. 3 D. 4/3
2	If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=	A. √7 B. √41 C. √19 D. √(2&7)
3	If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =	A. -i -15j B. i-15j C. i-3j D. None of these
4	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
5	If a,b = 0 then	A. a \|b B. a\|\|b C. a = b D. None
6	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
7	Vector additon is:	A. Commutative B. Associative C. Commutative and Associative D. None of these
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 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

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

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

Vector i =

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

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

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| = 5, then|a-b| =

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

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

The modulus of 12-5i is:

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

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

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

O (0,0)is called:

If a,b = 0 then

If u = xi + yj, then|u|

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

If aand bare two vectors then a+b =

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

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

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

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

a ______quantity is one that possesses both magnitude and direction.

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

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

The magnitude of vector a 2i-7j is

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