ECAT Pre Engineering MCQ Test With Answer for Chapter 23 Mathematics

MCQ's Test For ECAT Mathematics Chapter 23 Conic Section

Try The MCQ's Test For ECAT Mathematics Chapter 23 Conic Section

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  • Time Allowed20

ECAT Mathematics Chapter 23 Conic Section

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Question # 1

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

Question # 2

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

Question # 3

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

Question # 4

Vector additon is:

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

Vector i =

Question # 11

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

Question # 12

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

Question # 13

The magnitude of vector a 2i-7j is

Question # 14

The modulus of 12-5i is:

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

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Sr.# Question Answer
1 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
2 O (0,0)is called:
A. Position vector
B. Free vector
C. Unite vector
D. Null vector
3 Vector additon is:
A. Commutative
B. Associative
C. Commutative and Associative
D. None of these
4 If G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3
5 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
6 The magnitude of vector a 2i-7j is
A. √23
B. √43
C. 3
D. √53
7 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
8 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
9 The modulus of a vector i-i+ k is:
A. √3
B. 1
C. √2
D. ∞
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

11 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
12 If a=5j + 2j,b=2i -3j, then|a+2b|=
A. √21
B. √97
C. √39
D. None of these

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