`("at"^(2),2"at")` is a point on the line 2x-5y+12a =0 , from this find the coordinates of two points on the line.

(at^2,2at) is a point on the line 2x-5y+12a=0,from this find the co-oridnates of two points on the line.

The nearest point on the line 2x-y+5=0 from the origin is

The nearest point on the line 2x-y+5=0 from the origin is

Find the nearest point on the line 2x + y = 5 from the origin.

Draw a graph of the line x-2y=3. From the graph, find the coordinates of the point when x=-5 (ii) y=0

Draw a graph of the line x-2y=3. From the graph, find the coordinates of the point when x=-5 (ii) y=0

Find the nearest point on the line 2x+y=5 from the origin.

Consider the line 3x – 4y + 2 = 0 and the point (2, -3) Find the distance of the point from the line.

A straight line passes through the points A(2, -3,-1) and B(8, -1,2). Find the coordinates of the points on this line at a distance of 7 units from A.

Show that the line x-y + 4 =0 is a tangents to the ellipse x^(2) + 3y^(2) =12 . Also find the coordinates of the points of contact.