In the plane rectangular coordinate system, if the coordinates of point a are (1,1), the coordinates of point B are (11,1), the distance between point C and line AB is 4, and △ ABC is a right triangle, then the point C that satisfies the condition has two points______ One

In the plane rectangular coordinate system, if the coordinates of point a are (1,1), the coordinates of point B are (11,1), the distance between point C and line AB is 4, and △ ABC is a right triangle, then the point C that satisfies the condition has two points______ One

There are two lines with the distance of 4 from the line ab. take a line as an example, when ∠ A is a right angle, two points can be obtained; when ∠ B is a right angle, two points can be obtained; a circle with the diameter of AB has two intersections with the line, at this time, ∠ C is a right angle. Similarly, there are two points on another line, so there are eight points in total

If △ ABC is in rectangular coordinate system, a (- 1,0), C (1,4), point B is on X axis, and ab = 3, then the coordinate of point B is_____ The area of △ ABC is___ Or___ .

Wrong. Your B-point coordinates (- 4,0) or (2,0), area 6

As shown in the figure, in the rectangular coordinate system, the vertex coordinates of the isosceles right triangle ABC are respectively B (1,0) C (3,0) a (1,2). Keep the positions of the vertices B and C unchanged, and make a (or a group) transformation about the vertex a, so that the transformed triangle is still isosceles right triangle. Please make the image of point a after transformation, and find out the coordinates of the corresponding image of point a

（1,-2） （2,1） （2,-1）