Mathematics · Differential Equations
Match the family of curves in List-I with their corresponding differential equations in List-II: List-I (Family of curves) (A) y = mx, where m is an arbitrary constant (B) (x - α) 2 + 2y 2 = a 2 , where a is an arbitrary constant (C) y 2 = 4αx, where α is an arbitrary constant (D) y = a cos(x + b), where a and b are arbitrary constants List-II (Differential Equations) (1) 2y 2 - x 2 = 4xy dy dx (2) y dx - x dy = 0 (3) y 2 = 2xy dy dx (4) d 2 y dx 2 + y = 0
- 1(A) - (3), (B) - (4), (C) - (1), (D) - (2)
- 2(A) - (2), (B) - (1), (C) - (3), (D) - (4)✓
- 3(A) - (1), (B) - (3), (C) - (2), (D) - (4)
- 4(A) - (1), (B) - (2), (C) - (3), (D) - (4)
Correct answer
(A) - (2), (B) - (1), (C) - (3), (D) - (4)
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