If the asymptotes of the hyperbola (x+y+1)2-(x-y-3)2=5 intersect at A and the co-ordinate axes at B and C. Then the equation of circle passing through points A , B and C is

Question

If the asymptotes of the hyperbola (x+y+1)2-(x-y-3)2=5 intersect at A and the co-ordinate axes at B and C. Then the equation of circle passing through points A , B and C is (A) x2+y2-2 x+y=0 (B) 4 x2+4 y2-4 x+y=0 (C) x2+y2-x+2 y=0 (D) 4 x2+4 y2-x+4 y=0

Tardigrade Admin · Accepted Answer

Correct answer is (c) x2+y2-x+2 y=0

Q. If the asymptotes of the hyperbola $(x + y + 1)^{2} - (x - y - 3)^{2} = 5$ intersect at $A$ and the co-ordinate axes at $B$ and $C$ . Then the equation of circle passing through points $A, B$ and $C$ is

$x^{2} + y^{2} - 2 x + y = 0$

$4 x^{2} + 4 y^{2} - 4 x + y = 0$

$x^{2} + y^{2} - x + 2 y = 0$

$4 x^{2} + 4 y^{2} - x + 4 y = 0$

Correct answer is (c) $x^{2} + y^{2} - x + 2 y = 0$

Q. If the asymptotes of the hyperbola (x+y+1)2−(x−y−3)2=5 intersect at A and the co-ordinate axes at B and C. Then the equation of circle passing through points A,B and C is

x2+y2−2x+y=0

4x2+4y2−4x+y=0

x2+y2−x+2y=0

4x2+4y2−x+4y=0