SOLUTION: please help me identify the following conic. That is, is it a circle, parabola, hyperbola or ellipse? show why please!!! x^2 - 4y^2 - 4x - 24y = 48
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Question 93595This question is from textbook
: please help me identify the following conic. That is, is it a circle, parabola, hyperbola or ellipse? show why please!!! x^2 - 4y^2 - 4x - 24y = 48
This question is from textbook
Found 2 solutions by stanbon, psbhowmick:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x^2 - 4y^2 - 4x - 24y = 48
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It's a hyperbola because the signs of the coefficients of x^2 and
of y^2 are different.
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Cheers,
Stan H.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Given equation:
Compare with the standard equation for a conic
If then the conic is a parabola.
If then the conic is an ellipse.
If then the conic is a hyperbola.
If and then the conic is a circle.
Here, a = 1, b = -4, h = 0.
So and hence the conic is a hyperbola.
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