NDA_Math_2025_Q111

Question:

What is dy dx 2 equal to?

What is dy dx 2 equal to?

Options:

  • a) 44 4 2 2 () () y x + +
  • b) 44 4 2 2 () () y x – –
  • c) 16 4 4 2 2 () () y x + +
  • d) 16 4 4 2 2 () () y x – –
  • a) 44 4 2 2 () () y x + +
  • b) 44 4 2 2 () () y x – –
  • c) 16 4 4 2 2 () () y x + +
  • d) 16 4 4 2 2 () () y x – –

correct answer : c)

Explanation:

We know that
If x = sec q – cos q and y = secnq – cosnq
then (x2 + 4) dy
dx ny
 
 -+
2
22 4()

= 0
(x2 + 4) dy
dx y
 
 -+
2
2244() ()

= 0
dy
dx

 

2
=
16 4
4
2
2
()y
x
+
+

We know that
If x = sec q – cos q and y = secnq – cosnq
then (x2 + 4) dy
dx ny
 
 -+
2
22 4()

= 0
(x2 + 4) dy
dx y
 
 -+
2
2244() ()

= 0
dy
dx

 

2
=
16 4
4
2
2
()y
x
+
+

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