Plot any three points such that x-coordinate of each point is equal to its y-coordinate. Join these points in pairs. Do they lie on a line passing through the origin?

Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a line? what do you observe?

Find the coordinates of the points on the curve y=x^2+3x+4, the tangents at which pass through the origin.

Find the coordinates of the points on the curve y=x^2+3x+4 , the tangents at which pass through the origin.

Find the points on the curve y=x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

Find the points on the curve y=x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

Where does a point having y-coordinate -2 lie?

Where does a point having y-coordinate -5 lie?

Find the points on the curve y=x^3 at which the slope of the tangent is equal to the y\ coordinate of the point.

Decide which of the following statements is true and which is false. Give reasons for your answer. A point whose x-coordinate is zero, will lie on the y-axis. A point whose y-coordinate is zero, will lie on x-axis. The coordinates of the origin are (0, 0). Points whose x\ a n d\ y coordinates are equal, lie on a line passing through the origin.

The coordinates of the point P are (-3,\ 2) . Find the coordinates of the point Q which lies on the line joining P and origin such that O P=O Q .