Analytical Geometry of Two and Three Dimensions [NDA (National Defense Academy) Mathematics]: Questions 9  14 of 30
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Question number: 9
» Analytical Geometry of Two and Three Dimensions » Angle between Two Lines
Question
Out of points in a plane, points are in the same straight line, triangles can be formed by joining these points. What is the value of
Choices
Choice (4)  Response  

a.  4  
b.  3  
c.  6  
d.  5 
Question number: 10
» 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: 11
» Analytical Geometry of Two and Three Dimensions » Equation of a Line in Various Forms
Question
What is the sum of the squares of direction cosines of the line joining the points ?
Choices
Choice (4)  Response  

a. 
 
b.  1  
c.  0  
d. 

Question number: 12
» 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.  Question does not provide sufficient data or is vague 
Question number: 13
» Analytical Geometry of Two and Three Dimensions » Rectangular Cartesian Coordinate System
Question
What is perimeter of the triangle with vertices and ?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 14
» Analytical Geometry of Two and Three Dimensions » Distance of a Point from a Line
Appeared in Year: 2012
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 , the what is equal to?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 