Find the equation of the circle through the point (2,4) and having its centre at the intersection of the lines x - y = 4 and 2x + 3y + 7 = 0.

Find the equation of the circle passing through the point (2,4) and has its centre at the intersection of x-y =4. and 2x +3y=-7.

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16 .

Find the equation ofthe circle passing through the points (2,3) and (-1,1) and whose centre is on the line x-3y- 11 =0 .

Find the equation of the circle having (1,-2) as its centre and passing through the intersection of the lines 3x+y=14 and 2x+5y=18.

Find the equation of the circle which passes through points (2,-2) and (3,4) and whose centre lies on the line x + y = 2.

Find the equation of the circle whose centre is (2, -3) and which passes through the intersection of the st. lines 3x+2y=11 and 2x+3y=4.

Find the equation of a line through the point (-2,3) and parallel to the line 3x-4y+2=0.

Find the equation of the straight line passing through the point (2,3) and through the point of intersection of the lines 2x-3y+7=0 and 7x+4y+2=0

Find the equation of the circle whose centre is (2, -3) and which passes through the intersection of the straight lines 3x-2y=1 and 4x+y = 27.