Question

solve this question please

Answer 1

distance of point lying on a circle to centre is eqaul to radius of the circle hence

Answer 2

Point A(4,3) and B(x,5) are on same cirle with centre O(2,3)

OA = OB = Radius of circle

Distance b/w two points = √(y₂-y₁)² + (x₂-x₁)

OA = √(3-3)² + (2-4)² = √4 
OB = √(3-5)² + (2-x)² = √4 + (2-x)²

As, OA = OB
⇒ √4 = √4 + (2-x)²
⇒ 4 = 4 +  (2-x)²
⇒ 4-4 = (2-x)²
⇒ (2-x)² = 0
⇒ (2-x)(2-x) = 0

∴ 2-x = 0
⇒  x = 2

Therefore, the value of x is 2