JEE Advanced Mathematics question
Match the conic sections in Column I with the statements/expressions in Column II. Column I: (A) Circle (B) Parabola (C) Ellipse (D) Hyperbola Column II: (p) The locus of the point for which the line touches the circle (q) Points in the complex plane satisfying (r) Points of the conic have parametric representation , (s) The eccentricity of the conic lies in the interval (t) Points in the complex plane satisfying
Answer: (1)
Solution
**(p)** Tangency: distance of from equals 2: — a circle ⇒ A.
**(q)** : difference of distances from the foci is the constant (distance between foci) — a hyperbola ⇒ D.
**(r)** With :
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