Answer:
Coordinates of P is (-b,0)
Step-by-step explanation:
Given the figure of kite
we have to find the coordinates of P.
As the main diagonal is the perpendicular bisector of the other diagonal i.e diagonal AC dives the line segment PB into two equal parts.
As the coordinates of B is given which is (b, 0)
Let the coordinates of P is (x,y)
PO=OB i.e O is the mid-point of PB
By mid-point formula
[tex](0,0)=(\frac{b+x}{2},\frac{0+y}{2})[/tex]
b+x=0 and 0+y=0
x=-b and y=0
Hence, the coordinates of P are (-b, 0)
