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

Question # 1

If aand bare two vectors then a+b =

b + a A
b - a B
ab C
a^ b 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 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 # 4

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 # 5

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

1 A
√3 B
√2 C
7 D

Question # 6

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

3 A
√35 B
√17 C
√35 D

Question # 7

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 # 8

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 # 9

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

√3 A
1 B
√2 C
∞ D

Question # 10

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 # 11

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

4 A
6 B
5 C
3 D

Question # 12

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 13

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 # 14

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 # 15

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 16

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 # 17

Vector additon is:

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

Question # 18

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these 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

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 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 u = xi + yj, then|u|

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

Question # 23

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

5 A
5i B
-5 C
√5 D

Question # 24

O (0,0)is called:

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

Question # 25

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

0 A
1 B
-1 C
3 D

Question # 26

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

√7 A
√41 B
√19 C
√(2&7) D

Question # 27

If a,b = 0 then

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

Question # 28

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

√13 A
√7 B
1/√13 C
√29 D

Question # 29

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

1 A
2 B
-1 C
-3 D

Question # 30

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

√21 A
√97 B
√39 C
None of these D

Sr.#	Question	Answer
1	If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=	A. 1 B. 2 C. -1 D. -3
2	If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =	A. 4 B. 1/2 C. 3 D. 4/3
3	The magnitude of vector a 2i-7j is	A. √23 B. √43 C. 3 D. √53
4	Vector additon is:	A. Commutative B. Associative C. Commutative and Associative 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	Vector i =	A. [1,0] B. [0,1,0] C. [0,0,1] D. None of these
7	If u =[3,-4],then modulus of uis:	A. 5 B. 5i C. -5 D. √5
8	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
9	If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=	A. √7 B. √41 C. √19 D. √(2&7)
10	O (0,0)is called:	A. Position vector B. Free vector C. Unite vector D. Null vector

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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

If aand bare two vectors then a+b =

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

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

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:

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

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

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

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

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

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

The magnitude of vector a 2i-7j is

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

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

The modulus of 12-5i is:

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

Vector additon is:

a ______quantity is one that possesses both magnitude and direction.

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

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

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

If u = xi + yj, then|u|

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

O (0,0)is called:

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

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

If a,b = 0 then

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

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

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

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