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GATE ECE 2009 | Question-25

Match each differential equation in Group I to its family of solution curves from Group II.

$$\begin{array}{ll} \textbf{Group I} & \textbf{Group II} \\ \text{P.} \frac{d y}{d x}=\frac{y}{x} & \text{1. Circles} \\ \text{Q.} \frac{d y}{d x}=-\frac{y}{x} & \text{2. Straight lines} \\ \text{R.} \frac{d y}{d x}=\frac{x}{y} & \text{3. Hyperbolas} \\ \text{S.} \frac{d y}{d x}=-\frac{x}{y} & \end{array}$$

  1. $\text{P-2, Q-3, R-3, S-1}$
  2. $\text{P-1, Q-3, R-2, S-1}$
  3. $\text{P-2, Q-1, R-3, S-3}$
  4. $\text{P-3, Q-2, R-1, S-2}$
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