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

Question # 2

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

Question # 3

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

Question # 4

a ______quantity is one that possesses both magnitude and direction.

Question # 5

If a,b = 0 then

Question # 6

Vector i =

Question # 7

The modulus of 12-5i is:

Question # 8

The magnitude of vector a 2i-7j is

Question # 9

O (0,0)is called:

Question # 10

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 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
2 The modulus of 12-5i is:
A. 7
B. 13
C. √7
D. 119
3 If|a| =|b| = |a+b|=1, then|a-b| is equal to:
A. 1
B. √3
C. √2
D. 7
4 I f a =5i + 2j, then|a| =
A. √13
B. √7
C. 1/√13
D. √29
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 The magnitude of vector a=i-3j+5k is:
A. 3
B. √35
C. √17
D. √35
7 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
8 The positive real number which is the measure of the length of a vector is called the
A. Unit vector
B. Modulus
C. Inverse
D. None of these
9 If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
A. 4
B. 6
C. 5
D. 3
10 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

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