Question

If the points A(4,3) and B(x,5) are on the circle with Centre O(2,3) then find the value of x.

Answer 1

point A(4,3)
point B (X,5)
CENTER O (2,3)
DISTANCE BETWEEN A AND O
$\sqrt{(4 - 2) {}^{2} + (3 - 3) {}^{2} } \\ \sqrt{(2 {)}^{2} } \\ distance \: between \: a \: and \: b \: is \: \\ 2 \: units$
distance between B and O is
$\sqrt{(x - 2) {}^{2} + (5 - 3) {}^{2} } = 2 \\ (x - 2) {}^{2} + (2) {}^{2} = (2) {}^{2} \\ {x}^{2} - 4x + 4 + 4 = 4 \\ {x}^{2} - 4x + 4 = 0 \\ (by \: factorization) \\ {x}^{2} - 2x - 2x + 4 = 0 \\ ............ \\ .....(x - 2)(x - 2) = 0 \\ value \: of \: x \: is \: 2$
please mark it as brainliest answer.

Answer 2

Sobs is squaring on both sides