If P is a point in YZ-plane,then its x coordinate is………..

Slope of the tangent to a curve at any point is twice the x coordinate of the point. If the curve passes through the point (1,4), find its equation.

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?

Find the following: i) The y coordinate of any point on the 'x' axis. ii) The 'x' coordinate of any point on the 'y' axis. iii) The coordinates of the origin. iv) The y coordinate of any point on the line through (0,1), parallel to the 'x' axis. v) The x coordinate of any point on the line through (1,0), parallel to the 'y' axis.

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?

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

(b)L is the foot of the perpendicular drawn from a point P(3,4,5) on the XY-plane.Find the coordinates of point L.

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.