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Question

Question: The equation 3x<sup>2</sup> - 3y<sup>2</sup> - 12x + 12y - 2 = 0 represents...

The equation 3x2 - 3y2 - 12x + 12y - 2 = 0 represents

A

A parabola

B

An ellipse

C

A hyperbola

D

A rectangular hyperbola

Answer

A rectangular hyperbola

Explanation

Solution

Given equation can be written as (x2)22/3(y2)22/3=1\frac { ( x - 2 ) ^ { 2 } } { 2 / 3 } - \frac { ( y - 2 ) ^ { 2 } } { 2 / 3 } = 1

Clearly it represents a rectangular hyperbola.