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Which curve is denoted by y = √(x²-4) Circle parabola ellipse or hyperbola?

Which curve is denoted by y = √(x²-4)
Circle parabola ellipse or hyperbola?

Grade:11

2 Answers

Vikas TU
14149 Points
one year ago
Dear student 
The standard equation of a hyperbola is x ^2/a^ 2 – y ^2/b^ 2 = 1 where b^2 = a^2(e^2 - 1).
So , iT is Hyperbola 
Hope this helps 
Good Luck 
Arun
25763 Points
one year ago
Dear student
 
On squaring 
 
y² = x² -4
 
Hence x² -y² = 4
 
x² /4 - y²/4 = 1
 
Hence it is hyeprbola
 
Or we should specifically say that it is a branch of hyperbola

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