NDA (National Defense Academy) Mathematics: Questions 72  82 of 384
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Question number: 72
» 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: 73
» Algebra » Complex Numbers » Modulus
Question
If , then what is the imaginary part of equal to?
Choices
Choice (4)  Response  

a.  1  
b.  0  
c. 
 
d. 
Question number: 74
» Matrices and Determinants » Adjoint and Inverse of a Square Matrix
Appeared in Year: 2012
Question
If and then what isequal to?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 75
» 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: 76
» Trigonometry » Trigonometric Identities Sum and Difference Formulae
Question
What is equal to? Where,
Choices
Choice (4)  Response  

a.  1  
b.  1.73  
c.  2.32  
d.  1.74 
Question number: 77
» Differential Calculus » Derivatives of Sum
Question
If then what is equal to?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 78
» Differential Calculus » Derivatives of Sum
Question
and then what isequal to
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  1/y  
d. 

Question number: 79
» Trigonometry » Trigonometric Identities Sum and Difference Formulae
Appeared in Year: 2012
Question
What is the value of ?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 80
» Statistics and Probability » Elementary and Composite Events
Appeared in Year: 2012
Question
If four dice are thrown together, then what is the probability that the sum of the number appearing one them is 25?
Choices
Choice (4)  Response  

a.  1  
b.  1/2  
c.  1/1296  
d.  0 
Question number: 81
» Trigonometry » Angles and Their Measures in Degrees and in Radians
Appeared in Year: 2012
Question
If then what is the value of ?
Choices
Choice (4)  Response  

a.  2  
b.  0  
c.  1  
d. 
Question number: 82
» Algebra » Conversion from Decimal System to Binary System
Question
What is the decimal number representation of the binary number ?
Choices
Choice (4)  Response  

a.  25.025  
b.  13.625  
c. 
 
d.  212.125 