ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 23 (Conic Section)

MCQ's Test For ECAT (Pre-Eng) Mathematics MCQ's Test For Chapter 23

Try The MCQ's Test For ECAT (Pre-Eng) Mathematics MCQ's Test For Chapter 23

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ECAT (Pre-Eng) Mathematics MCQ's Test For Chapter 23

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Question # 1

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

Vector i =

Question # 7

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

Question # 8

If aand bare two vectors then a+b =

Question # 9

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

Question # 10

O (0,0)is called:

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:
A. Parallel to each other
B. Perpendicular to each other
C. Inclined at 60o
D. neither parallel nor perpendicular
2 If|a| =|b| = |a+b|=1, then|a-b| is equal to:
A. 1
B. √3
C. √2
D. 7
3 The magnitude of vector a 2i-7j is
A. √23
B. √43
C. 3
D. √53
4 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
5 If aand bare two vectors then a+b =
A. b + a
B. b - a
C. ab
D. a^ b
6 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
7 The modulus of a vector i-i+ k is:
A. √3
B. 1
C. √2
D. ∞
8 If a=5j + 2j,b=2i -3j, then|a+2b|=
A. √21
B. √97
C. √39
D. None of these
9 If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=
A. 1
B. 2
C. -1
D. -3
10 The angle between the vectors u =2i - i + k and v = -i + i is:
A. 3π/2
B. 2π/3
C. 5π/6
D. π/3

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