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

O (0,0)is called:

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

Question # 3

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

√21 A
√97 B
√39 C
None of these D

Question # 4

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

0 A
1 B
-1 C
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 then

a |b A
a||b B
a = b C
None 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 additon is:

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

Question # 9

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 10

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

5 A
5i B
-5 C
√5 D

Question # 11

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 # 12

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 # 13

Vector i =

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

Question # 14

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 # 15

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 # 16

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 # 17

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 # 18

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

√3 A
1 B
√2 C
∞ 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|=|a + b|=1, then|a+ b| = 5, then|a-b| =

4 A
6 B
5 C
3 D

Question # 21

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 # 22

If aand bare two vectors then a+b =

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

Question # 23

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 # 24

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 # 25

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

1 A
2 B
-1 C
-3 D

Question # 26

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

3 A
√35 B
√17 C
√35 D

Question # 27

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 28

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 # 29

If u = xi + yj, then|u|

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

Question # 30

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

Sr.#	Question	Answer
1	Vector i =	A. [1,0] B. [0,1,0] C. [0,0,1] D. None of these
2	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
3	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
4	Vector additon is:	A. Commutative B. Associative C. Commutative and Associative D. None of these
5	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
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	If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=	A. √7 B. √41 C. √19 D. √(2&7)
8	O (0,0)is called:	A. Position vector B. Free vector C. Unite vector D. Null vector
9	If u =[3,-4],then modulus of uis:	A. 5 B. 5i C. -5 D. √5
10	The modulus of 12-5i is:	A. 7 B. 13 C. √7 D. 119

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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:

O (0,0)is called:

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

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

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

If a,b = 0 then

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

Vector additon is:

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

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

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

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

Vector i =

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

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

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

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

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

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

If aand bare two vectors then a+b =

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

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

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

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

a ______quantity is one that possesses both magnitude and direction.

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

If u = xi + yj, then|u|

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

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