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

Question # 1

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

0 A
1 B
-1 C
3 D

Question # 2

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these 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

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

√13 A
√7 B
1/√13 C
√29 D

Question # 5

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

√21 A
√97 B
√39 C
None of these D

Question # 6

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

3 A
√35 B
√17 C
√35 D

Question # 7

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 8

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 # 9

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

5 A
5i B
-5 C
√5 D

Question # 10

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 # 11

Vector i =

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

Question # 12

If a,b = 0 then

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

Question # 13

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 # 14

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 # 15

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 # 16

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 17

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 18

O (0,0)is called:

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

Question # 19

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

1 A
√3 B
√2 C
7 D

Question # 20

Vector additon is:

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

Question # 21

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

1 A
2 B
-1 C
-3 D

Question # 22

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 # 23

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

√3 A
1 B
√2 C
∞ D

Question # 24

If aand bare two vectors then a+b =

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

Question # 25

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 # 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

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

4 A
6 B
5 C
3 D

Question # 28

If u = xi + yj, then|u|

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

Question # 29

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 # 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 a≠ , b≠ 0 and\|a=b\|=\|a-b\|,then vectors a and b are:	A. Parallel to each other B. Perpendicular to each other C. Inclined at 60^o D. neither parallel nor perpendicular
2	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
3	I f a =5i + 2j, then\|a\| =	A. √13 B. √7 C. 1/√13 D. √29
4	If u = xi + yj, then\|u\|	A. x² + y² B. (x² +y²)² C. x²-y² D. √(x²+y²)
5	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
6	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
7	The modulus of a vector i-i+ k is:	A. √3 B. 1 C. √2 D. ∞
8	If\|a\| =\|b\| = \|a+b\|=1, then\|a-b\| is equal to:	A. 1 B. √3 C. √2 D. 7
9	If the sum of two unit vectors is a unit vector the the magnitude of their difference is	A. √2 B. √3 C. 1 D. None of these
10	If u =[3,-4],then modulus of uis:	A. 5 B. 5i C. -5 D. √5

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

a ______quantity is one that possesses both magnitude and direction.

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

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

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

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

The modulus of 12-5i is:

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

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

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

Vector i =

If a,b = 0 then

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

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

The magnitude of vector a 2i-7j is

O (0,0)is called:

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

Vector additon is:

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

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

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

If aand bare two vectors then a+b =

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

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

If u = xi + yj, then|u|

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:

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?

Share your comments & questions here