Match List - I with List - II

List - I

Family of curves

List - II

Differential Equtions

(A). y = mx, m is arbitrary constant (1). 2y²- x²= 4xydy/dx

(B). (x - α)²+ 2y² = a², a is arbitrary constant (2). y dx - x dy = 0

(C). y² = 4αx, a is arbitrary constant (3). y² = 2xydy/dx

(D). y = a cos(x + b), a and b are arbitrary constants (4). \(\frac{d^2 y}{d x^2}\) + y = 0

Choose the correct answer from the options given below:

Question

List - I Family of curves		List - II Differential Equtions
(A).	y = mx, m is arbitrary constant	(1).	2y²- x²= 4xydy/dx
(B).	(x - α)²+ 2y² = a², a is arbitrary constant	(2).	y dx - x dy = 0
(C).	y² = 4αx, a is arbitrary constant	(3).	y² = 2xydy/dx
(D).	y = a cos(x + b), a and b are arbitrary constants	(4).	\(\frac{d^2 y}{d x^2}\) + y = 0