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ADDITIONAL PRACTICE PROBLEMS 1. Find the equation of the curve that is the locus of all
points equidistant from the point (3,4) and the line 6x  8y = 2. 2. Find the coordinates of the center and the radius of a
circle for the equation x^{2} + y2  10x = 
9. 3. Find the equation of the circle that passes through
points (  4,3), (0,  5), and (3,  4). 4. Give the equation; the length of a; and the length of
the focal chord for the parabola, which is the locus of all points equidistant
from the point (0,  23/4) and the line y = 23/4. 5. Reduce the equation 3x^{2}  30x + 24y + 99 = 0
to a parabola in standard form. 6. Find the equation of the ellipse with its center at the
origin, semimajor axis of length 14, and directrices y = ± 28. 7. Reduce the equation 4x^{2} + y2  16x 
16y = 64 to an ellipse in standard form. 8. Find the equation of the hyperbola with asymptotes at y
= ± (4/3)x and vertices at ( ± 6,0). 9. Find the foci, directrices, eccentricity, equations of
the asymptotes, and length of the focal chord of the hyperbola
10. Change the equation x^{2} + 2x + y^{2} = 0 from
rectangular to polar coordinates. 11. Change the equation
to an
equation in rectangular coordinates. ANSWERS TO ADDITIONAL PRACTICE PROBLEMS
