JEE Main 202226 Jul, Evening shiftMathematicsEasyCoordinate Geometry478× since 2002If the line x−1=0x-1=0x−1=0 is a directrix of the hyperbola kx2−y2=6k x^{2}-y^{2}=6kx2−y2=6, then the hyperbola passes through the point :AOption A. (−25,6)(-2 \sqrt{5}, 6)(−25,6)BOption B. (−5,3)(-\sqrt{5}, 3)(−5,3)COption C. (5,−2)(\sqrt{5},-2)(5,−2)DOption D. (25,36)(2 \sqrt{5}, 3 \sqrt{6})(25,36)CheckSkip · show solution