NDA_Math_2025_Q112

Question:

What is x y dy dx x dy dx y 2 2 2 2 2 4 4 41 6 () equal to?

What is x y dy dx x dy dx y 2 2 2 2 2 4 4 41 6 () equal to?

Options:

  • a) 16x
  • b) 16y
  • c) -16x
  • d) -16y Direction for Questions (113-114): Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB + AC = 3 units.
  • a) 16x
  • b) 16y
  • c) -16x
  • d) -16y Direction for Questions (113-114): Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB + AC = 3 units.

correct answer : c)

Explanation:

\ dy
dx

 

2

=

16 4
4
2
2
()y
x
+
+
2
2
2
dy
dx
dy
dx

 








=
16 24 16 42
4
22
22
() () () ()
()
yx dy
dx yx
x
+- +
+
dy
dx dx
xdy ()
2
2
22 4





 +

= 16y(x2+4) dy
dx
-16x(y2 + 4)
dy
dx dx
xdy ()
2
2
22 4





 +

– 16y(x2+4) dy
dx
= -16x(y2 + 4)
() ()x
y
dy
dx x dy
dx
y
2
2
2
2
2
4
4
41 6+
+
+-







= -16x
Solved Paper – 2025 (I)

\ dy
dx

 

2

=

16 4
4
2
2
()y
x
+
+
2
2
2
dy
dx
dy
dx

 








=
16 24 16 42
4
22
22
() () () ()
()
yx dy
dx yx
x
+- +
+
dy
dx dx
xdy ()
2
2
22 4





 +

= 16y(x2+4) dy
dx
-16x(y2 + 4)
dy
dx dx
xdy ()
2
2
22 4





 +

– 16y(x2+4) dy
dx
= -16x(y2 + 4)
() ()x
y
dy
dx x dy
dx
y
2
2
2
2
2
4
4
41 6+
+
+-







= -16x
Solved Paper – 2025 (I)

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