The General and Standard Form of Conics
15x² + 7y² - 735 = 0
Find the general equation of the ellipse in the form [ x² / 49 ] + [ y² / 105 ] = 1.
y² + 12x + 10y + 1 = 0
Find the general equation of the parabola in the form [ (y+5)² = -12 (x-2) ].
9y² - x + 126y + 441 = 0
Find the general equation of the parabola in the form [ x = 9(y+7)² ].
7x² - y + 98y + 343 = 0
Find the general equation of the parabola in the form [ y = 7(x+7)² ].
[ x² / 49 ] + [ y² / 105 ] = 1
Find the standard equation of the ellipse in the form [ 15x² + 7y² - 735 = 0 ].
x = 9(y+7)²
Find the standard equation of the parabola in the form [ 9y² - x + 126y + 441 = 0 ].
(y+5)² = -12 (x-2)
Find the standard equation of the parabola in the form [ y² + 12x + 10y + 1 = 0 ].
2x² + 3y² +4x -18y -7 = 0
In the form [ (x+1)² / 18 ] + [ (y-3)² / 12 ] = 1 , find the general equation of the ellipse.
x² + y² + 10x + 12y + 25 = 0
In the form [ (x+5)² + (y+6)² = 36 ] , find the general equation of the circle.
2x² + y² + 20x + 10y + 59 = 0
In the form [ (x+5)² / 8 ] + [ (y+5)² / 16 ] = 1 , find the general equation of the ellipse.
x² + y² + 16x - 16y + 64 = 0
In the form [ (x+8)² + (y-8)² = 64 ] , find the general equation of the circle.
x² + y² - 6x + 8y = 0
In the form [ (x-3)² + (y+4)² = 25 ] , find the general equation of the circle.
x² + y² - 14x - 8y + 16 = 0
In the form [ (x-7)² + (y-4)² = 49 ] , find the general equation of the circle.
x² + y² + 6y - 31 = 0
In the form [ (x² + (y+3)² = 40 ] , find the general equation of the circle.
5x² -7y² + 50x + 42y + 164 = 0
In the form [ (y-3)² / 15 ] - [ (x+5)² / 21 ] = 1, find the general equation of the hyperbola.
3x² - 4y² + 42x + 56y - 1 = 0
In the form [ (y-7)² / 12 ] - [ (x-7)² / 16 ] = 1, find the general equation of the hyperbola.
[ y² / 16 ] - [ x² / 8 ] = 1
In the form [ 2x² - y² + 16 = 0 ] , find the standard equation of the hyperbola.
(x-3)² + (y+4)² = 25
In the form [ x² + y² - 6x + 8y = 0 ] , find the standard equation of the circle.
4x² + 7y² + 84y + 56= 0
In the form [ x² / 49 ] + [ (y+6)² / 28 ] = 1, find the general equation of the ellipse.
2x² - y² + 16 = 0
In the form [ y² / 16 ] - [ x² / 8 ] = 1 , find the general equation of the hyperbola.
