HyperbolaHard

Question

The equation = 1, |r| < 1 represents

Options

A.an ellipse
B.a hyperbola
C.a circle
D.None of these

Solution

Given equation is = 1, where | r |< 1
⇒       1 - r is (+ ve) and 1 + r is (+ ve)
∴       Given equation is of the form = 1.
Hence, it represents a hyperbola when | r |<1

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