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

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

Question # 2

O (0,0)is called:

Question # 3

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

Question # 4

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

Question # 5

If a,b = 0 then

Question # 6

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

Question # 7

If aand bare two vectors then a+b =

Question # 8

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

Question # 9

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

Question # 10

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
2 If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=
A. 1
B. 2
C. -1
D. -3
3 Vector i =
A. [1,0]
B. [0,1,0]
C. [0,0,1]
D. None of these
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 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 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
7 O (0,0)is called:
A. Position vector
B. Free vector
C. Unite vector
D. Null vector
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 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
10 If|a| =|b| = |a+b|=1, then|a-b| is equal to:
A. 1
B. √3
C. √2
D. 7

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