Identify the type of conic and find centre, foci, vertices, and directices of each of the following:
`((x+3)^(2))/(225)-((y-4)^(2))/(64)=1`

Identify the type of conic and find centre, foci, vertices, and directices of each of the following: ((x+1)^(2))/(100)+((y-2)^(2))/(64)=1

Identify the type of conic and find centre, foci, vertices, and directices of each of the following: ((y-2)^(2))/(25)-((x+1)^(2))/(16)=1

Identify the type of conic and find centre, foci, vertices, and directices of each of the following: 9x^(2)-y^(2)-36x-6y+18=0

Identify the type of conic and find centre, foci, vertices, and directices of each of the following: 18x^(2)+12y^(2)-144x+48y+120=0

Identify the type of conic and find centre, foci, vertices and directries of each of the following : x^(2)/25 + y^(2)/9 =1 (ii) x^(2)/3 + y^(2)/10 =1 (iii) x^(2)/25 - y^(2)/144 =1 (iv) y^(2)/16 -x^(2)/9 =1

Find centre, foci, vertices, and directrices of the following (x^(2))/(25) - (y^(2))/(144) = 1

Find the centre and radius of each of the following (i)x^(2)+y^(2)+4x-4y+1=0

Identify the type of conic for the following equation. y^(2)-2x-y-3=0

Find the lengths of the axes, the coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the hyperbola (x^(2))/(36)-(y^(2))/(64)=1.