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

Question # 2

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

Question # 3

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

Question # 4

If aand bare two vectors then a+b =

Question # 5

If a,b = 0 then

Question # 6

The modulus of 12-5i is:

Question # 7

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

Question # 8

a ______quantity is one that possesses both magnitude and direction.

Question # 9

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

Question # 10

The vector i = [1,0] is called unit vector along:

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ECAT Mathematics Chapter 23 Important MCQ's

Sr.# Question Answer
1 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
2 O (0,0)is called:
A. Position vector
B. Free vector
C. Unite vector
D. Null vector
3 If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
4 If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:
A. Orthogonal
B. Collinear
C. Perpendicular
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 aand bare two vectors then a+b =
A. b + a
B. b - a
C. ab
D. a^ b
7 If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
A. 4
B. 6
C. 5
D. 3
8 If m and n be two scalars, then (m+n) g =
A. 0
B. m+n

C. m▁a+n▁a
D. ma - m▁a

9 I f a =5i + 2j, then|a| =
A. √13
B. √7
C. 1/√13
D. √29
10 Vector additon is:
A. Commutative
B. Associative
C. Commutative and Associative
D. None of these

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