Hello aspirant,

Hope you are doing well

Let the required coordinated be (x, y)

then, A (3, 5)  B(x, y)  C(0,1)

The distance between A(3, 5) and B(x, y) = 5 units

the distance between B(x, y) and C(0,1) =10 units.

Now, we use the formula,

x = (m1x + m2x) / (m1 + m2)

y = (m1y + m2y) / (m1 + m2)

Here, m1 and m2 is the distance between two coordinate i.e., 5, 10

and (x1, y1) = (3, 5) and x2, y2 = (0, 1)

So, x = ((5 * 0) + (10 *3 )) / ( 10 + 5 )

= 30 /15 = 2

y = ((5 *1 ) +(10 *5)) / ( 10 + 5 )

= 55 / 15 = 11/3

Hence, the coordinate is (x, y ) = (2, 11/3)

I hope this will help you.

Feel free to ask any query.

All the best.