Analytical Geometry of Two and Three Dimensions (NDA (National Defence Academy) Mathematics): Questions 1  6 of 30
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Question number: 1
» 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: 2
» 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: 3
» 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: 4
» 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. 


Question number: 5
» 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: 6
» Analytical Geometry of Two and Three Dimensions » Equation of a Sphere
Question
What is the diameter of the sphere
Choices
Choice (4)  Response  

a.  10 units 

b.  12 units 

c.  15 units 

d.  7 units 
