Let a variable line passing through a fixed point P in the first quadrant cuts the positive coordinate axes at points A and B respectively. If the area of `DeltaOAB` is minimum, then OP is

A variable line passing through a fixed point (alpha,beta) intersects the coordinate axes at A and B. If O is the origin, then the locus of the centroid of the DeltaOAB is

A straight line passing through the point (a,b) [where agt0and bgt0 ] intersects positive coordnate axes at the points p and Q respectively . Show that the minimum value of (OP+OQ) is (sqrta+sqrtb)^(2) .

A straight line L with nagative slope passes through the point (9,4) and cuts the positive coordinate axes at the points P and Q respectively . Minimum value of OP+OQ , as L varies (where O is the origin ), is-

A line is drawn passing through point P(1,2) to cut positive coordinate axes at A and B . Find minimum area of DeltaPAB .

A line is drawn passing through point P(1,2) to cut positive coordinate axes at A and B . Find minimum area of DeltaPAB .

A variable plane passes through a fixed point (a, b, c) and cuts the axes in A. B and C respectively. The locus of the centre of the sphere OABC. O being the origin.is