Question

find the coordinates of a point whose distance from (3,5)is 5 units and from (0,1) is 10 units
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Answer 1

Step-by-step explanation:

Given, P(3,5) distance is 5 units from Q and R(0,1) distance is 10 units from Q.

P(3,5) .........5..........Q(x,y)............10.......... R(0,1)

Let the point be Q(x,y)

Let m and n divide the point in the ratio 5:10 ie m:n =5:10

Using Section Formula :

x= 10(3)+5(0)/10+5 y= 10(5)+5(1)/10+5

x = 30/15= 2 y= 55/15= 11/3

so, (x,y)= (2,11/3)