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

Question # 2

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

Question # 3

Vector additon is:

Question # 4

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

Question # 5

O (0,0)is called:

Question # 6

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

Question # 7

The positive real number which is the measure of the length of a vector is called the

Question # 8

Vector i =

Question # 9

a ______quantity is one that possesses both magnitude and direction.

Question # 10

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

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
2 If a,b = 0 then
A. a |b
B. a||b
C. a = b
D. None
3 The modulus of 12-5i is:
A. 7
B. 13
C. √7
D. 119
4 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
5 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
6 If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
A. 4
B. 6
C. 5
D. 3
7 If u = xi + yj, then|u|
A. x2 + y2
B. (x2 +y2)2
C. x2-y2
D. √(x2+y2)
8 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
9 I f a =5i + 2j, then|a| =
A. √13
B. √7
C. 1/√13
D. √29
10 O (0,0)is called:
A. Position vector
B. Free vector
C. Unite vector
D. Null vector

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