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

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 equation of a 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 the x coordinate (abscissa) and the product of the x coordinate and y coordinate of that point.

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.

Without drawing coordinate axes mention the positions of 'A(2,1), B(6,1), C(6,5)' as left-right, above-below. Draw coordinate axes, mark the points and complete triangle 'ABC' Which side of the triangle is parallel to 'x' axis . Which side is parallel to 'y' axis Write the coordinates of the midpoint of AB. Write the coordinates of the midpoint of BC. Write the coordinates of the midpoint of AC.

Coordinates of the end. points of a' diameter of a circle are '(1,3)' and '(11,3)' a) Calculate the length of the diameter b) Write the coordinates of the centre c) Write the coordinates of any other point on the same circle

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 particle moves along the curve 6 y=x^3+2 . Find the points on the curve at which the y coordinate is changing 8 times as fast as the x-coordinate.

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

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

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 . .