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

Question # 1

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

3 A
√35 B
√17 C
√35 D

Question # 2

Vector i =

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

Question # 3

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

√13 A
√7 B
1/√13 C
√29 D

Question # 4

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 # 5

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 # 6

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

0 A
1 B
-1 C
3 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

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 9

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

4 A
6 B
5 C
3 D

Question # 10

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 # 11

Vector additon is:

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

Question # 12

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 # 13

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 14

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 # 15

O (0,0)is called:

Position vector A
Free vector B
Unite vector C
Null vector 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

If aand bare two vectors then a+b =

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

Question # 18

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 # 19

If u = xi + yj, then|u|

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

Question # 20

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 # 21

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 # 22

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 23

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 # 24

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 # 25

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 # 26

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

1 A
√3 B
√2 C
7 D

Question # 27

If a,b = 0 then

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

Question # 28

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 29

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

√3 A
1 B
√2 C
∞ 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 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	The magnitude of vector a=i-3j+5k is:	A. 3 B. √35 C. √17 D. √35
3	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
4	If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=	A. √7 B. √41 C. √19 D. √(2&7)
5	I f a =5i + 2j, then\|a\| =	A. √13 B. √7 C. 1/√13 D. √29
6	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
7	a ______quantity is one that possesses both magnitude and direction.	A. Scalar B. Vector C. Segment D. None of these
8	Vector additon is:	A. Commutative B. Associative C. Commutative and Associative D. None of these
9	If a,b = 0 then	A. a \|b B. a\|\|b C. a = b D. None
10	The modulus of a vector i-i+ k is:	A. √3 B. 1 C. √2 D. ∞

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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=i-3j+5k is:

Vector i =

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

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 =

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

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

The modulus of 12-5i is:

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

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

Vector additon is:

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

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:

O (0,0)is called:

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 =

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

If u = xi + yj, then|u|

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

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

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

If a,b = 0 then

a ______quantity is one that possesses both magnitude and direction.

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

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

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