= − ( ) x −= ( ) x = . The circle passing through( , and touching the axis of x at ( , ) passing through the point ( ) ( , ) - ( ) ( , ( ) ( , ( ) ( , ) - . The locus of a point whose distance from ( , ) - is times its distance from the line x = − is ( ) a parabola ( ) a hyperbola ( ) an ellipse ( ) a circle . The values of m for which the line y mx + touches the hyperbola are the roots of x b x , then the value of ( is ( ) ( ) ( ) ( ) - .
If the coordinates at one end of a diameter of the circle x are ( , ) , the coordinates of the other end are ( ) ( , ) - ( ) (– , ) ( ) ( , ( ) ( , ) - - -