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

Question # 2

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

Question # 3

The magnitude of vector a 2i-7j is

Question # 4

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

Question # 5

a ______quantity is one that possesses both magnitude and direction.

Question # 6

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

Question # 7

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

Question # 8

The modulus of 12-5i is:

Question # 9

If u = xi + yj, then|u|

Question # 10

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=
A. 1
B. 2
C. -1
D. -3
2 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
3 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
4 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
5 If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
A. 4
B. 6
C. 5
D. 3
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 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=5j + 2j,b=2i -3j, then|a+2b|=
A. √21
B. √97
C. √39
D. None of these
9 The magnitude of vector a 2i-7j is
A. √23
B. √43
C. 3
D. √53
10 The modulus of 12-5i is:
A. 7
B. 13
C. √7
D. 119

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