ECAT Pre Engineering MCQ Test With Answer for Chapter 23 Mathematics

MCQ's Test For ECAT Mathematics Chapter 23 Conic Section

Try The MCQ's Test For ECAT Mathematics Chapter 23 Conic Section

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ECAT Mathematics Chapter 23 Conic Section

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Question # 1

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

Question # 2

The modulus of 12-5i is:

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

If a,b = 0 then

Question # 8

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

Question # 9

If|a| =|b| = |a+b|=1, then|a-b| is equal to:

Question # 10

If u =[3,-4],then modulus of uis:

Question # 11

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

Question # 12

The magnitude of vector a=i-3j+5k is:

Question # 13

I f a =5i + 2j, then|a| =

Question # 14

If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=

Question # 15

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

Question # 16

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

Question # 17

The magnitude of vector a 2i-7j is

Question # 18

If aand bare two vectors then a+b =

Question # 19

a ______quantity is one that possesses both magnitude and direction.

Question # 20

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 c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=
A. √7
B. √41
C. √19
D. √(2&7)
2 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
3 If u = xi + yj, then|u|
A. x2 + y2
B. (x2 +y2)2
C. x2-y2
D. √(x2+y2)
4 The modulus of a vector i-i+ k is:
A. √3
B. 1
C. √2
D. ∞
5 If G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3
6 If u =[3,-4],then modulus of uis:
A. 5
B. 5i
C. -5
D. √5
7 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
8 Vector i =
A. [1,0]
B. [0,1,0]
C. [0,0,1]
D. None of these
9 The magnitude of vector a=i-3j+5k is:
A. 3
B. √35
C. √17
D. √35
10 The modulus of 12-5i is:
A. 7
B. 13
C. √7
D. 119

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