Plot at least six points in a graph sheet, each having the sum of its coordinates equal to 5.

Plot the following points on a graph sheet by taking the scale as 1cm=1 unit. Find how far the points are from each other? A(1,0) and D(4,0). Find AD and also DA. Is AD=DA? You plot another set of points and verify your Result.

Find the equation of a curve passing through the point (0,2), given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5 .

Prove that all the lines having the sum of the interceps on the axes equal to half of the product of the intercepts pass through the point. Find the fixed point.

Find the equation of the curve passing through the point (0,1), if the slope of the tangent to the curve at any point (x,y), is equal to the sum of x coordinate and product of x coordinate and y coordinate of that point.

Find the equation of a curve passing through the origin, given that the slope of the tangent of the curve at any point (x,y) is equal to tha sum of the coordinates of the point.

Plot the points T(4,-2) and V(-2,4) on a cartesian plane. Whether these two coordinates locate the same point?

Some points are plotted on a plane such that any three of them are non collinear. Each point is joined with all remaining points by line segments. Find the number of points if the number of line segments are 10.

Plot the points A(2,2) B(6,2), C(8,5) and D(4,5) in a graph sheet. Join all the points to make it is a parallalogram. Find its area.

Plot the points (0,0), (0,3), (4,3), (4,0) in graph sheet. Join the points with straight lines to make a rectangle. Find the area of the rectangle.