1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Given that m(θ) = cot2θ + n2tan2θ + 2n, where n is a fixed positive real number. 

What is the least value of m(θ) ?
A
n
B
2n
C
3n
D
4n
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Given that m(θ) = cot2θ + n2tan2θ + 2n, where n is a fixed positive real number. 

Under what condition does m attain the least value ? 
A
n = tan2θ
B
n = cot2θ
C
n = sin2θ
D
n = cos2θ
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

A quadrilateral is formed by the lines x = 0, y = 0, x + y = 1 and 6x + y = 3. 

What is the equation of diagonal through origin ? 
A
3x + y = 0 
B
2x + 3y = 0 
C
3x - 2y = 0 
D
3x + 2y = 0
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

A quadrilateral is formed by the lines x = 0, y = 0, x + y = 1 and 6x + y = 3. 

What is the equation of other diagonal ?  
A
x + 2y - 1 = 0
B
x - 2y - 1 = 0
C
2x + y + 1 = 0
D
2x + y - 1 = 0
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