Analytical Geometry of Two and Three Dimensions (NDA (National Defense Academy) Mathematics): Questions 1  8 of 30
Access detailed explanations (illustrated with images and videos) to 384 questions. Access all new questions we will add tracking exampattern and syllabus changes. Unlimited Access for Unlimited Time!
View Sample Explanation or View Features.
Rs. 250.00 or
How to register?
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 
Question number: 7
» 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: 8
» Analytical Geometry of Two and Three Dimensions » Direction Cosines and Direction Ratios
Question
What is the cosine of angle between the planes and
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
