Question

17. The centre of a circle is (4,5), and A(8, 10) is a point on the circumference. Find the other end of the
diameter of the circle through A.
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Answer 1

Let the other point be B(x,y)

The distance between point A and the centre of circle is equal to the distance between point B and the centre of the circle. Therefore ratio is 1:1.

$4 = \frac{8 - x}{2} \\ 4 \times 2 = 8 - x \\ 8 = 8 - x\\ x = 8 - 8 \\ x =0 \\ similarly \\ 5 = \frac{10 - y}{2} \\ 5 \times 2 = 10 - y \\ 10 = 10 - y\\ y = 10 - 10 \\ y = 0$

Therefore the other end of the diameter is (0,0) that is the origin.

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Answer 2

Answer:

here is your answer....