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

5 A
5i B
-5 C
√5 D

Question # 3

Vector additon is:

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

Question # 4

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 # 5

O (0,0)is called:

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

Question # 6

Vector i =

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

Question # 7

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

√21 A
√97 B
√39 C
None of these D

Question # 8

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 # 9

If a,b = 0 then

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

Question # 10

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

1 A
2 B
-1 C
-3 D

Question # 11

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

3 A
√35 B
√17 C
√35 D

Question # 12

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

4 A
6 B
5 C
3 D

Question # 13

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 # 14

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 15

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 16

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 # 17

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 # 18

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 # 19

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

√13 A
√7 B
1/√13 C
√29 D

Question # 20

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 21

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 # 22

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 # 23

If aand bare two vectors then a+b =

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

Question # 24

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

√3 A
1 B
√2 C
∞ D

Question # 25

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 # 26

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

1 A
√3 B
√2 C
7 D

Question # 27

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 # 28

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

0 A
1 B
-1 C
3 D

Question # 29

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 # 30

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

4 A
1/2 B
3 C
4/3 D

Sr.#	Question	Answer
1	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
2	I f a =5i + 2j, then\|a\| =	A. √13 B. √7 C. 1/√13 D. √29
3	Vector additon is:	A. Commutative B. Associative C. Commutative and Associative D. None of these
4	The vector k = [0,0,1] is called unit vector along:	A. x -axis B. y - axis C. z- axis D. None of these
5	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
6	If\|a\| =\|b\| = \|a+b\|=1, then\|a-b\| is equal to:	A. 1 B. √3 C. √2 D. 7
7	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3
8	The magnitude of vector a=i-3j+5k is:	A. 3 B. √35 C. √17 D. √35
9	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
10	If\|a\| =\|b\|=\|a + b\|=1, then\|a+ b\| = 5, then\|a-b\| =	A. 4 B. 6 C. 5 D. 3

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

Vector additon is:

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

O (0,0)is called:

Vector i =

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

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

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

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

a ______quantity is one that possesses both magnitude and direction.

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

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

The magnitude of vector a 2i-7j is

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

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 modulus of a vector i-i+ k is:

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| is equal to:

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

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

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

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

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