If area of `triangle OPB `= area of `Triangle OPA` where O is origin, `A =(6, 0)`, `B= (0, 4)` and P lies on line `x+y=1` then possible coordinates of P is/are

The area of triangle formed with the origin and the points (4,0) and (0,6) is ………

Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle O P Q . The point R inside the triangle O P Q is such that the triangle O P R, P Q R and O Q R are of equal area. The coordinates of R are

The area of triangle formed with the origin and the points (4,0) and (0,6) is .........

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are

A line is drawn through the point (1,2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin . If the area of the triangle OPQ is least, then the slope of the line PQ is

The area of the triangle formed by the lines y = x, x = 6, and y = 0 is

The area of the triangle OAB with vertices O(0,0),A(x_(1),y_(1))" and B(x_(2),y_(2)) is

A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the triangle OPQ is least, then the slope of the line PQ is-