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 (iii) 4x ^1 + 5y ^2 = 1

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. 16x^2-9y^2=576 .

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

Write the coordinates of the vertex and the focus, the equations of the directrix and the axis, and the length of the latus rectum of the parabola: (i) y ^2 = 16x

Find the eccentricity of the hyperbola (ii) x ^2 /16 - y ^2 /9 = 1

Find the equation of the circle whose centre is (4, 5) and which passes through the centre of the circle x ^2 + y ^2 + 4x -6y - 12 = 0

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.