jee-main 2022 Q67

jee-main · India · session2_26jul_shift2 Conic sections Equation Determination from Geometric Conditions

If the line $x - 1 = 0$, is a directrix of the hyperbola $k x ^ { 2 } - y ^ { 2 } = 6$, then the hyperbola passes through the point
(1) $\left( - 2 \sqrt { 5 } , 6 \right)$
(2) $\left( - \sqrt { 5 } , 3 \right)$
(3) $\left( \sqrt { 5 } , - 2 \right)$
(4) $\left( 2 \sqrt { 5 } , 3 \sqrt { 6 } \right)$

If the line $x - 1 = 0$, is a directrix of the hyperbola $k x ^ { 2 } - y ^ { 2 } = 6$, then the hyperbola passes through the point\\
(1) $\left( - 2 \sqrt { 5 } , 6 \right)$\\
(2) $\left( - \sqrt { 5 } , 3 \right)$\\
(3) $\left( \sqrt { 5 } , - 2 \right)$\\
(4) $\left( 2 \sqrt { 5 } , 3 \sqrt { 6 } \right)$

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