NDA (National Defence Academy) Mathematics: Questions 55  61 of 384
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Question number: 55
» Algebra » Quadratic Equations with Real Coefficients
Question
The equation formed by multiplying each root of by is .
Which one of the following is correct?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Vector Algebra » Addition of Vectors
Question
What is the value of if the vectors are coplanar?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 57
» Algebra » Quadratic Equations with Real Coefficients
Question
What is the sum of the squares of the roots of the equation
Choices
Choice (4)  Response  

a.  290 

b.  184 

c.  177 

d.  277 

Question number: 58
Appeared in Year: 2016
Question
Let be a set of all distinct number of the form, where What is the cardinality of the set
Choices
Choice (4)  Response  

a.  32 

b.  23 

c.  21 

d.  36 

Question number: 59
» Matrices and Determinants » Operations on Matrices Determinant of a Matrix,
Question
If then what is the value of the determinates of
Choices
Choice (4)  Response  

a.  1 

b. 


c.  0 

d.  None of the above 

Question number: 60
» Algebra » Complex Numbers » Modulus
Appeared in Year: 2012
Question
If Where, , then what is the value of?
Choices
Choice (4)  Response  

a. 


b.  4 

c.  8 

d.  0 

Question number: 61
» Algebra » Arithmetic Progression
Question
The seventh 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, sixth and seventh terms is greatest?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

