It is known that the intersection point of the image with the inverse scale function y = K / X and the linear function y = MX + n is a3,4 And the distance from the intersection of the image of the first-order function and the x-axis to the origin is 5 Finding two analytic expressions Find the coordinates of another point and determine what type of angle AOB is

It is known that the intersection point of the image with the inverse scale function y = K / X and the linear function y = MX + n is a3,4 And the distance from the intersection of the image of the first-order function and the x-axis to the origin is 5 Finding two analytic expressions Find the coordinates of another point and determine what type of angle AOB is

∵ the analytic expression of inverse scale function y = K / x, and a (3,4)
We get y = 12 / X
The distance from the intersection of the image of a function of degree and the X axis to the origin is 5
The intersection x-axis of y = MX + N and B1 (5,0) or B2 (- 5,0)
Substituting the coordinates of point a, we can get y = - 2x + 10 or y = 1 / 2x + 5 / 2
When y = - 2x + 10, the angle AOB is an acute angle
When y = 1 / 2x + 5 / 2, the angle AOB is obtuse