Question

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

Answer 1

Answer:

The value of x is 2

Step-by-step explanation:

Given,

• A = (5,3)
• B = (x,5)
• O = (2,3)

Distance betwween A and O,

$= \sqrt{(5 - 2) {}^{2} + (3 - 3) {}^{2} } \\ =\sqrt{(3 {)}^{2} }$

= 3 units

∴ Distance between A and O is 3 units.

Distance between B and O is

,

$\sqrt{(x - 2) {}^{2} + (5 - 3) {}^{2} } = 2 \\ (x - 2) {}^{2} + (2) {}^{2} = (2) {}^{2} \\ {x}^{2} - 4x + 4 + 4 = 4 \\ {x}^{2} - 4x + 4 = 0 \\ (by \: factorization) \\ {x}^{2} - 2x - 2x + 4 = 0 \\ ............ \\ .....(x - 2)(x - 2) = 0 \\ value \: of \: x \: is \: 2$

∴ The value of x is 2.

Answer 2

Answer:I hope it may help you mark me as brainliest please please please please please please please please please

Step-by-step explanation:

Don't follow the answer given by other person bcz the answer is wrong he took AO as 2 while it's 3