Match the conics in Column - I with the statements/expressions in Column - II.
Column - I Column - II
Text Solution
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→ (p), → (s, t), → (r), → (q, s)
Sol. (p) 
= 2 ⇒ h 2 + k 2 = 
⇒ locus is a circle.
(q) 
and 2 –(–2) = 4 > 3 ⇒ locus is a hyperbola.
(r) x = 
, y = 
Let tan θ = t
x = 
cos 2 θ, y = sin 2 θ
Hence 
+ y 2 = 1 ⇒ locus is an ellipse
(s) Eccentricity x = 1 ⇒ Parabola , 1< x < ∞ ⇒ Hyperbola
(t) z = x + iy
Re(z + 1) 2 = |z| 2 + 1
⇒ (x + 1) 2 – y 2 = x 2 + y 2 + 1
⇒ 2x = 2y 2
⇒ x = y 2 Hence locus is a parabola
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