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

sinx + cosx + tanx + cotx + secx + cosecx = 7 

The given equation can be reduced to 
A
sin2 2x - 44 sin2x + 36 = 0
B
sin2 2x + 44 sin2x - 36 = 0
C
sin2 2x - 22 sin2x + 18 = 0
D
sin2 2x + 22 sin2x - 18 = 0
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

sinx + cosx + tanx + cotx + secx + cosecx = 7 

If sin2x = a - b√c, where a and b are natural numbers and c is prime number, then what is the value of a - b + 2c ? 
A
0
B
14
C
21
D
28
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 quadratic equation is given by

(3 + 2√2)x2 - (4 + 2√3)x + (8 + 4√3) = 0

What is the HM of the roots of the equation ? 
A
2
B
4
C
2√2
D
2√3
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 quadratic equation is given by

(3 + 2√2)x2 - (4 + 2√3)x + (8 + 4√3) = 0

What is the GM of the roots of the equation ?
A
√2(√6 - √3 + √2 - 1)
B
√2(√6 + √3 - √2 - 1)
C
(√6 - √3 + √2 - 1)
D
(√6 + √3 + √2 - 1)
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