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

Question # 1

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

√3 A
1 B
√2 C
∞ D

Question # 2

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 # 3

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 # 4

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 # 5

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

1 A
√3 B
√2 C
7 D

Question # 6

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 # 7

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 # 8

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 # 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

If u = xi + yj, then|u|

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

Question # 12

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 13

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 # 14

Vector additon is:

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

Question # 15

O (0,0)is called:

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

Question # 16

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 # 17

If a,b = 0 then

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

Question # 18

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

3 A
√35 B
√17 C
√35 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=5j + 2j,b=2i -3j, then|a+2b|=

√21 A
√97 B
√39 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

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

4 A
6 B
5 C
3 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 u =[3,-4],then modulus of uis:

5 A
5i B
-5 C
√5 D

Question # 25

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 26

If aand bare two vectors then a+b =

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

Question # 27

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 28

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

√13 A
√7 B
1/√13 C
√29 D

Question # 29

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

1 A
2 B
-1 C
-3 D

Question # 30

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

x -axis A
y - axis B
z- axis C
None of these D

Sr.#	Question	Answer
1	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3
2	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
3	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
4	The magnitude of vector a 2i-7j is	A. √23 B. √43 C. 3 D. √53
5	If u =[3,-4],then modulus of uis:	A. 5 B. 5i C. -5 D. √5
6	If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=	A. √7 B. √41 C. √19 D. √(2&7)
7	If\|a\| =\|b\|=\|a + b\|=1, then\|a+ b\| = 5, then\|a-b\| =	A. 4 B. 6 C. 5 D. 3
8	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
9	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
10	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119

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 modulus of a vector i-i+ k is:

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:

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

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

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

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

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

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 =

If u = xi + yj, then|u|

a ______quantity is one that possesses both magnitude and direction.

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

Vector additon is:

O (0,0)is called:

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

If a,b = 0 then

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

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

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

Vector i =

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

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

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

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

If aand bare two vectors then a+b =

The magnitude of vector a 2i-7j is

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

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:

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