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 circle of radius 1 unit touches the positive x-axis and the positive y-axis at A and B , respectively. A variable line passing through the origin intersects the circle at two points D and E . If the area of triangle D E B is maximum when the slope of the line is m , then find the value of m^(-2)

The distance of a point from the x-axis in the positive direction is 5 and from the y-axis in the positive direction is 7. Find the co-ordinates of the point.

The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The perpendicular bisector of A B meets the line through (0,-1) parallel to the x-axis at Cdot If the area of triangle A B C is A , then the value of A/(13) is________

A line 4x+3y=24 cut the x-axis at point A and cut the y-axis at point B then incentre of triangle OAB is (a) (4,4) (b) (4,3) (c) (3,4) (d) (2,2)

Find the range of values of the ordinate of a point moving on the line x=1 , which always remain in the interior of the triangle formed by the lines y=x , the x-axis and x+y=4.

A tangent is drawn to the parabola y^2=4 x at the point P whose abscissa lies in the interval (1, 4). The maximum possible area of the triangle formed by the tangent at P , the ordinates of the point P , and the x-axis is equal to

A line passing through the point P(4,2) meets the x and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circumcircle of triangle OAB is

Let's find in how many points do the three medians of a triangle meet.

The ordinates of two points is 2 units. Find the coordinates of the points if they are located on the opposite directions of y-axis and are equidistant from the y-axis.