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

Question # 1

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

3 A
√35 B
√17 C
√35 D

Question # 2

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

5 A
5i B
-5 C
√5 D

Question # 3

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 # 4

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 # 5

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 # 6

If a,b = 0 then

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

Question # 7

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

√13 A
√7 B
1/√13 C
√29 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

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

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

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 # 12

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

√3 A
1 B
√2 C
∞ 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 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 # 15

Vector additon is:

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

Question # 16

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 # 17

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 # 18

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 # 19

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

0 A
1 B
-1 C
3 D

Question # 20

O (0,0)is called:

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

Question # 21

Vector i =

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

Question # 22

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 23

If aand bare two vectors then a+b =

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

Question # 24

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

1 A
2 B
-1 C
-3 D

Question # 25

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

1 A
√3 B
√2 C
7 D

Question # 26

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 # 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 magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 29

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 30

If u = xi + yj, then|u|

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

Sr.#	Question	Answer
1	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
2	The magnitude of vector a=i-3j+5k is:	A. 3 B. √35 C. √17 D. √35
3	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3
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 u =[3,-4],then modulus of uis:	A. 5 B. 5i C. -5 D. √5
6	If a=5j + 2j,b=2i -3j, then\|a+2b\|=	A. √21 B. √97 C. √39 D. None of these
7	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
8	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
9	If u = xi + yj, then\|u\|	A. x² + y² B. (x² +y²)² C. x²-y² D. √(x²+y²)
10	Vector i =	A. [1,0] B. [0,1,0] C. [0,0,1] 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 magnitude of vector a=i-3j+5k is:

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

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

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 = [-3 , 5] and v = [6 , -2] is:

If a,b = 0 then

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

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

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

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

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

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

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

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

Vector additon is:

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

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:

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

O (0,0)is called:

Vector i =

a ______quantity is one that possesses both magnitude and direction.

If aand bare two vectors then a+b =

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

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

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

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

The magnitude of vector a 2i-7j is

The modulus of 12-5i is:

If u = xi + yj, then|u|

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