Suppose that $$A5$$,$$6$$ and $$B3$$,$$4$$ be two points and P be a point on $$x-$$ axis such that $$PA+PB$$ is minimum then the point P is

Question

Suppose that $$A5$$,$$6$$ and $$B3$$,$$4$$ be two points and P  be a point on  $$x-$$ axis such that $$PA+PB$$ is minimum then the point P is

Infinity Learn · Accepted Answer

Suppose that  the images of $$A5$$,$$6$$ and $$B3$$,$$4$$ in the $$X-$$  axis are  C and D respectively. The point P  is the point of intersection of the lines  AD and  $$x-$$ axis, it is coincide with the point of intersection of the lines  BC and $$x-$$  axisThe image of $$B3$$,$$4$$ in the $$x-$$  axis is  $$D3$$,−$$4The$$ equation of the line joining $$D3$$,−$$4$$ an $$A5$$,$$6$$ is  y−$$6=6+45$$−$$3x$$−$$5This$$ can be simplified as y−$$6=6+45$$−$$3x$$−$$5y$$−$$6=5x$$−$$5y$$−$$6=5x$$−$$255x$$−y−$$19=0Plug$$ in  $$x=0$$ to get the point of intersection of the above line and    axis. It implies $$that5x=19x=195Therefore$$, $$P=195$$,$$0$$

Suppose that $A (5, 6)$ and $B (3, 4)$ be two points and P be a point on x- axis such that $|PA + PB|$ is minimum then the point P is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Suppose that A5,6 and B3,4 be two points and P be a point on x- axis such that PA+PB is minimum then the point P is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Suppose that $A (5, 6)$ and $B (3, 4)$ be two points and P be a point on x- axis such that $|PA + PB|$ is minimum then the point P is