Answer:BStep-by-step explanation:Remarkyou are told about the radius given that the center is at (0,0) and a point (3,5) lies on the circumference. The radius = sqrt( (3 - 0)^2 + (5 - 0)^2 ) The radius = sqrt(9 + 25)The radius = sqrt(34)Formulax^2 + y^2 = radius^2 for a circle.x^2 + y^2 = (sqrt(34))^2x^2 + y^2 = 34SolutionThe general method is to find x = something, y = something and when they are squared, they equal 33.Try Ax = 2y = 6x^2 + y^2 = 342^2 + 6^2 = 344 + 36 = 34 40 = 34 The statement is not true and A is not the answer.===================C is also not the answer because x = 6 lies outside the circle just as choice A does.===================The answer is Bx = 1y = sqrt(33)x^2 + y^2 = 341^2 + sqrt(33)^2 = 341 + 33 = 34.