NDA (National Defence Academy) Mathematics: Questions 8  13 of 384
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Question number: 8
» Analytical Geometry of Two and Three Dimensions » Equation of a Line in Various Forms
Appeared in Year: 2012
Question
What is the sum of the squares of direction cosines of the line joining the points ?
Choices
Choice (4)  Response  

a.  1 

b. 


c.  3 

d.  0 

Question number: 9
» Algebra » Complex Numbers » Cube Roots of Unity
Appeared in Year: 2016
Question
What is equal to, where is the cube root of unity?
Choices
Choice (4)  Response  

a.  3ω 

b. 


c.  0 

d.  1 

Question number: 10
» Algebra » Operations on Sets
Question
If A = {4,6, 7,8, 9}, B = {2,4, 6} and C = {1,2, 3,4, 5,6}, then find
A U (B ∩ C)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 11
» Trigonometry » Trigonometric Identities Sum and Difference Formulae
Question
What is equal to? Where,
Choices
Choice (4)  Response  

a. 


b.  1 

c.  2 

d. 


Question number: 12
» Algebra » Operations on Sets
Question
Let, , and .
Find .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 13
» Trigonometry » Angles and Their Measures in Degrees and in Radians
Question
From the top of a building of height meter, the angle of depression of an object on the ground is . What is the distance (in meter) of the object from the foot of the building?
Choices
Choice (4)  Response  

a.  0 

b.  30 

c.  45 

d.  15 
