Consider a family of circle passing thorugh two fixed points A(3,7) and B(6,5) . Show that the chords in which the circle `x^(2)+y^(2)-4x-6y-3=0`. Cuts the members of the family are concurrent at a point. Find the coordinates of this point.

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If each circle in the family cuts the circle x^(2)+y^(2)-4x-6y-3=0 , then all the common chords pass through the fixed point which is

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

Consider a family of circles passing through the points (3, 7) and (6,5). Answer the following questions. Number of circles which belong to the family and also touchingx- axis are

Find the coordinates of the middle point of the chord which the circle x^(2)+y^(2)+4x-2y-3=0 cuts-off the line x-y+2=0.

Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If the circle which belongs to the given family cuts the circle x^(2)+y^2=29 orthogonally, then the center of that circle is (a) (1 / 2 , 3 / 2 ) (b) ( 9 / 2 , 7 / 2 ) (c) ( 7 / 2 , 9 / 2 ) (d) ( 3 , − 7 / 9 )

Show that x = 7 and y = 8 touch the circle x^(2) + y^(2) - 4x - 6y -1 2 = 0 and find the points of contact.

Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing through two fixed points Aa n dB . Then the distance between the points Aa n dB is_____

Show that the points (4,2) (3,-5) are conjugate points with respect to the circle x^(2) + y^(2) -3 x - 5y + 1 = 0