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

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

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Question # 1

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

Question # 2

O (0,0)is called:

Question # 3

a ______quantity is one that possesses both magnitude and direction.

Question # 4

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

Question # 5

If u = xi + yj, then|u|

Question # 6

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

Question # 7

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

Question # 8

The modulus of 12-5i is:

Question # 9

The magnitude of vector a 2i-7j is

Question # 10

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 The magnitude of vector a=i-3j+5k is:
A. 3
B. √35
C. √17
D. √35
2 The modulus of a vector i-i+ k is:
A. √3
B. 1
C. √2
D. ∞
3 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
4 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
5 If G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3
6 The modulus of 12-5i is:
A. 7
B. 13
C. √7
D. 119
7 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
8 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
9 If u =[3,-4],then modulus of uis:
A. 5
B. 5i
C. -5
D. √5
10 The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:
A. π/2
B. -3π/2
C. π
D. None of these

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