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

Question # 1

The modulus of 12-5i is:

7 A
13 B
√7 C
119 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

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 # 4

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 # 5

If aand bare two vectors then a+b =

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

Question # 6

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 # 7

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

4 A
6 B
5 C
3 D

Question # 8

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 # 9

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

0 A
1 B
-1 C
3 D

Question # 10

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 # 11

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

√13 A
√7 B
1/√13 C
√29 D

Question # 12

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

5 A
5i B
-5 C
√5 D

Question # 13

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 14

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

√3 A
1 B
√2 C
∞ D

Question # 15

If u = xi + yj, then|u|

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

Question # 16

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

1 A
2 B
-1 C
-3 D

Question # 17

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 18

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 # 19

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 # 20

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

1 A
√3 B
√2 C
7 D

Question # 21

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

√21 A
√97 B
√39 C
None of these D

Question # 22

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 # 23

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 # 24

Vector additon is:

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

Question # 25

If a,b = 0 then

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

Question # 26

O (0,0)is called:

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

Question # 27

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 # 28

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 # 29

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

3 A
√35 B
√17 C
√35 D

Question # 30

Vector i =

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

Sr.#	Question	Answer
1	The positive real number which is the measure of the length of a vector is called the	A. Unit vector B. Modulus C. Inverse D. None of these
2	O (0,0)is called:	A. Position vector B. Free vector C. Unite vector D. Null vector
3	If aand bare two vectors then a+b =	A. b + a B. b - a C. ab D. a^ b
4	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
5	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3
6	If\|a\| =\|b\| = \|a+b\|=1, then\|a-b\| is equal to:	A. 1 B. √3 C. √2 D. 7
7	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
8	The magnitude of vector a 2i-7j is	A. √23 B. √43 C. 3 D. √53
9	If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=	A. √7 B. √41 C. √19 D. √(2&7)
10	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

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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 modulus of 12-5i is:

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

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

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

If aand bare two vectors then a+b =

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

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

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

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

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

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

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

a ______quantity is one that possesses both magnitude and direction.

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

If u = xi + yj, then|u|

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

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

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

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

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

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

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

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

Vector additon is:

If a,b = 0 then

O (0,0)is called:

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:

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

Vector i =

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