+3 votes
in JEE by kratos

Trace the curve y2 = x2(1 + x)/(1 - x).

1 Answer

+3 votes
by kratos
 
Best answer

The curve passes through the origin and is symmetrical about the x-axis. It intersects the x-axis at x = -1 and x = 0. If x < -1 or x > 1 the curve is non-existent. As x → 1, y → ± ∞ a rough diagram is shown below (Fig.).

The curve has a loop between -1 and 0.

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