Prove that for any point on the line intersecting the axes in the picture, the sum of the 'x' and 'y' coordinates is 3 .

Prove that for all points on the line joining the origin and the point (4,2), the 'x' -coordinate is dơuble the 'y-' coordinate. What is the equation of this line?

Equation of the line AB is 3x-2y=6 . P is a point on the line. The line intersects the y-axes at A and the x-axis at B. The x coordinate the y corrdinate of P are same. Find the coordinates of P . .

Mark the points where the y coordinates become.the double of 'x' - coordinate.

Prove that the line joining the centres of two intersecting circles is the perpendicular bisector of the line joining the points of intersection.

Prove that the line joining the centres of two intersecting circles is the perpendicular bisector of the line joining the points of intersectíon.

The picture on the right shows two circles centred on the same point and a line intersecting them.Prove that the parts of the line between the circles on either side are equal.

We have seen that the points (3,5),(6,7),(9,9) are points on the same line. is there any relation between the 'x' coordinates 3,6 .and 9 of these points? What about the y coordinates 5,7,9 ? Can you find some more points on this line with natural number coordinates?

Find the equation of a curve passing through the point (2,-2) given that at any point (x, y) on the curve the product of the slope of its tangent and y coordinate of the point is equal to the x - coordinate of the point.

Find the equation of a curve passing through the point (0,-2) given that at any point (x,y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

A point is on the x-axis. What are its y-coordinates and z coordinates?