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

Question # 1

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 2

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 # 3

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 # 4

If aand bare two vectors then a+b =

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

Question # 5

If u = xi + yj, then|u|

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

Question # 6

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

0 A
1 B
-1 C
3 D

Question # 7

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 # 8

Vector i =

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

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 11

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

√21 A
√97 B
√39 C
None of these D

Question # 12

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 # 13

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

5 A
5i B
-5 C
√5 D

Question # 14

Vector additon is:

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

Question # 15

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 # 16

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 # 17

The modulus of 12-5i is:

7 A
13 B
√7 C
119 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,b = 0 then

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

Question # 21

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 22

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

√3 A
1 B
√2 C
∞ D

Question # 23

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 # 24

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 # 25

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

4 A
6 B
5 C
3 D

Question # 26

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 # 27

O (0,0)is called:

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

Question # 28

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

1 A
√3 B
√2 C
7 D

Question # 29

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

√13 A
√7 B
1/√13 C
√29 D

Question # 30

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

Sr.#	Question	Answer
1	If aand bare two vectors then a+b =	A. b + a B. b - a C. ab D. a^ b
2	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
3	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3
4	Vector i =	A. [1,0] B. [0,1,0] C. [0,0,1] D. None of these
5	I f a =5i + 2j, then\|a\| =	A. √13 B. √7 C. 1/√13 D. √29
6	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
7	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119
8	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
9	If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =	A. 4 B. 1/2 C. 3 D. 4/3
10	a ______quantity is one that possesses both magnitude and direction.	A. Scalar B. Vector C. Segment D. None of these

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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 2i-7j is

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 aand bare two vectors then a+b =

If u = xi + yj, then|u|

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

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

Vector i =

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

a ______quantity is one that possesses both magnitude and direction.

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

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

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

Vector additon is:

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

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

The modulus of 12-5i is:

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,b = 0 then

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

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

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

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

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

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

O (0,0)is called:

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

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

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

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