Question

Pls help due ASAP and show workings pls

Answer 1

The coordinates of point B are: (29,-15)

Option D is correct option.

Explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is:
`Midpoint=((x_1+x_2)/(2), (y_1+y_2)/(2))`

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

`Midpoint=((x_1+x_2)/(2), (y_1+y_2)/(2))\\(17,-4)=((5+x_2)/(2), (7+y_2)/(2))\\We\:can\:write:\\17=(5+x_2)/(2)\:and\: -4=(7+y_2)/(2)\\17* 2=5+x_2\:and\: -4* 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15`

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.