Take a point A on X-axis and B on Y-axis and find area of the triangle AOB. Discuss with your friends how they do it?

A point lies on X-axis at a distance 5 units from Y-axis. What are its coordinates ?

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

Find the area of the triangle formed by the lines y-x =0, x+y=0 and x-k=0 .

The tangent at a point P of a curve meets the y-axis at A, and the line parallel to y-axis through P meets the x-axis at B. If area of DeltaOAB is constant (O being the origin), Then the curve is

A point lies on Y-axis at a distance 4 units from X-axis. What are its coordinates ?

Find the curve for which area of triangle formed by x-axis, tangent drawn at any point on the curve and radius vector of point of tangency is constant, equal to a^2

The base of an equilateral triangle with side 2a lies along the Y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

A short electric dipole is situated at the origin of coordinate axis with its axis along x-axis and equator along y-axis. It is found that the magnitudes of the electric intensity and electric potential due to the dipole are equal at a point distance r=sqrt(5) m from origin. Find the position vector of the point in first quadrant.

Sketch the region {(x,0) //y = sqrt( 4-x^2)} and X- axis . Find the area of the region using integration.

Draw the graph of (i) y=2x+5 , (ii) y=2x-5 , (iii) y=2x and find the point of intersection on X - axis Is the x-coordinate of these points also the zeroes of the polynomial ?