to , find the centre and radius of the circles. . ( x + ) + ( y – ) = . x + y – x – y – = .
x + y – x + y – = . x + y – x = . Find the equation of the circle passing through the points ( , ) and ( , ) and whose centre is on the line x + y = . .
Find the equation of the circle passing through the points ( , ) and (– , ) and whose centre is on the line x – y – = . . Find the equation of the circle with radius whose centre lies on x -axis and passes through the point ( , ). .
Find the equation of the circle passing through ( , ) and making intercepts a and b on the coordinate axes. . Find the equation of a circle with centre ( , ) and passes through the point ( , ). .
Does the point (– . , . ) lie inside, outside or on the circle x + y = ? MATHEMATICS Fig .
Fig . . Parabola Definition A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the line) in the plane. The fixed line is called the directrix of the parabola and the fixed point F is called the focus (Fig .
). (‘Para’ means ‘for’ and ‘bola’ means ‘throwing’, i.e., the shape described when you throw a ball in the air).