Question

Find the distance between the points P(2, -3).Q(-1,5).​

Answer 1

Answer:

            (73)^1/2

Step-by-step explanation:

PQ = (( -1 -2 )^2 + (5+3)^2)^1/2

     =  (9 + 64)^1/2

      =  (73)^1/2

Answer 2

Given : points P(2,-3 ) and Q(-1,   5)​

To Find : distance between points

Solution:

Distance between point A ( x₁ , y₁   ) and B ( x₂ , y₂  )  is given by :

= √(x₂ - x₁)² + (y₂-y₁)²  

P(2, -3, ) and Q(-1,   5)​

x₁  = 2 , y₁  = -3  

x₂ = -1 , y₂ = 5

Distance between points P and Q

= √(-1 - 2)² + (5-(-3))²  

= √(-3)² +   (-8)²

= √(9 + 64)

= √73

distance between points P(2, -3).Q(-1,5)  is √73  unit

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