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 `0` is the origin.If the area of the triangle `OPQ` is least,the slope of the line `PQ` is `k` ,then `|k|`=

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 (1) -(1)/(4) (2) -4(3)-2(4)-(1)/(2)

A straight line passing through the point (87, 33) cuts the positive direction of the coordinate axes at the point P and Q. If Q is the origin then the minimum area of the triangle OPQ is.

A variable line through the point P(2,1) meets the axes at A and B .Find the locus of the centroid of triangle OAB (where O is the origin).

A variable line through point P(2,1) meets the axes at A and B. Find the locus of the circumcenter of triangle OAB (where O is the origin.

If a straight line I passing through P(3,4) meets positive co-ordinate axes at A &B such that area of triangle OAB is minimum (where O is origin) then slope of I is

If lines are drawn from the point (-5, 3) to the coordinate axes then area of quadrilateral formed by these lines with coordinate axes is

A plane meets the coordinate axes in A,B,C such that the centroid of triangle ABC is the point (p,q,r) . If the equation of the plane is x/p+y/q+z/r=k then k=