NDA (National Defense Academy) Mathematics: Questions 11  20 of 384
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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 
Question number: 14
Question number: 15
» Algebra » Complex Numbers » Cube Roots of Unity
Question
What is equal to, where is the cube root of unity?
Choices
Choice (4)  Response  

a. 
 
b.  3ω  
c.  1  
d.  0 
Question number: 16
» Analytical Geometry of Two and Three Dimensions » Distance of a Point from a Line
Question
The angle of elevation of a tower at a level ground is . The angle of elevation becomes . when moved towards the tower. If the height of tower is , then what is equal to?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 
Question number: 17
» Analytical Geometry of Two and Three Dimensions » Distance Formula
Question
If the midpoint between the points and lies on the line what is k equal to?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  
d. 

Question number: 18
» Matrices and Determinants » Operations on Matrices Determinant of a Matrix,
Question
What is equal to?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  15xyz  
d. 

Question number: 19
» Algebra » Arithmetic Progression
Appeared in Year: 2016
Question
The sixth term of an is and it’s common difference is greater than What is the first term of the so that the product of the fourth and fifth terms is greatest?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 20
» Analytical Geometry of Two and Three Dimensions » Distance of a Point from a Line
Question
Two poles are and high. The line joining their tips makes an angle of with the horizontal. What is the distance between the poles?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
