Match the conics in Column-$I$ with the statements/expressions in Column-$II$.
Column-$I$ Column-$II$ $A$. Circle $P$. Locus of point $(h, k)$ such that the line $hx + ky = 1$ touches the circle $x^2 + y^2 = 4$ $B$. Parabola $Q$. Point $z$ in the complex plane satisfies $|z + 2| - |z - 2| = \pm 3$ $C$. Hyperbola $R$. Eccentricity of the conic lies in the interval $[1, \infty)$ $S$. Point $z$ in the complex plane satisfies $Re(z + 1)^2 = |z|^2 + 1$
| Column-$I$ | Column-$II$ |
|---|---|
| $A$. Circle | $P$. Locus of point $(h, k)$ such that the line $hx + ky = 1$ touches the circle $x^2 + y^2 = 4$ |
| $B$. Parabola | $Q$. Point $z$ in the complex plane satisfies $|z + 2| - |z - 2| = \pm 3$ |
| $C$. Hyperbola | $R$. Eccentricity of the conic lies in the interval $[1, \infty)$ |
| $S$. Point $z$ in the complex plane satisfies $Re(z + 1)^2 = |z|^2 + 1$ |
- A$A \to (P); B \to (R, S); C \to (Q, R)$
- B$A \to (R); B \to (P, S); C \to (P, Q)$
- C$A \to (Q); B \to (P, S); C \to (P, R)$
- D$A \to (S); B \to (R, P); C \to (P, Q)$
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