Find the distance d(P1,P2) between the points P1 and P2
P1=(-1,5);P2=(2,4)
d(P1,P2)=
√(3^2+1^2) = √10
To find the distance between two points in a two-dimensional space, we can use the distance formula:
d(P1, P2) = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of P1 and P2, respectively.
For P1=(-1, 5) and P2=(2, 4), we can substitute these values into the distance formula:
d(P1, P2) = √((2 - (-1))^2 + (4 - 5)^2)
Simplifying further, we have:
d(P1, P2) = √((3)^2 + (-1)^2)
d(P1, P2) = √(9 + 1)
d(P1, P2) = √10
Therefore, the distance d(P1, P2) between the points P1 and P2 is √10.