Find the coordinates of the centre, vertices, foci and the equation to the directrices of (iii) 4x`^1` + 5y`^2` = 1

Find the coordinates of the centre, vertices, foci and the equation to the directrices of (ii) 9x ^2 + 25y ^2 = 225

Find the coordinates of the centre, vertices, foci and the equation to the directrices of (i) 2x ^2 + 5y ^ = 10

Find the equation of the directrices of the ellipse x^2/25+y^2/9=1 .

Find the coordinates of vertices,the foci,the eccentricity and the equations of the directrix of the following hyperbola. x^2/16-y^2/9=1 .

Find the coordinates of vertices,the foci,the eccentricity and the equations of the directrix of the following hyperbola. 16x^2-9y^2=576 .

Find the equation of the tangent to the curve (ii) x^2 +5y^2 = 9at (2,-1)

Two vertices of a triangle are (1,3) and (3,1),If the coordinates of the centroid of the triangle is (2,1),find the coordinates of the third vertex of the triangle.

Find the equation of the tangent to the curve (iv) y^2 = 4x +5at (1,3)

Find the coordinates of the centroids of the triangles formed by the following points:(iii)(4,4),(-1,0),(0,-1)

Find the equation of the tangent to the curve v) x^2+xy+y^2 = 3at(1,1)