Question 750177
2. An ellipse with the X intercepts of: (-7,0) and (7,0) and with the Y intercepts of: (0,4) and (0,-4), find an equation for a line that intersects the ellipse at
a. zero points
eg, y = 5, x = 8, etc
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b. one point
y = 4, x = 7, etc
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c. two points 
x-axis, y-axis, y = 1, x = 2, etc
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3. For the hyperbola with the equation: x^2/36 - y^2/16 = 1, the two x intercepts are: (-6,0) and (6,0)
Find an equation for a circle that intersects the hyperbola at
a. zero points.
Any circle centered at the Origin with a radius less than 6 --> 0 points
eg, x^2 + y^2 = 25
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b. four points.
Any circle centered at the Origin with a radius greater than 6 --> 4 points
eg, x^2 + y^2 = 49
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c. three points
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eg, a circle on the x-axis not centered at the Origin tangent to one side and intersecting in 2 points on the other side.
eg, (x+1)^2 + y^2 = 49
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dl the FREE graph software at
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It's very helpful.