The equation of the hyperbola whose directrix is \[x+2y=1\], focus (2, 1) and eccentricity 2 will be [MP PET 1988, 89]

\[3{{x}^{2}}+16xy+15{{y}^{2}}-4x-14y-1=0\]

\[{{x}^{2}}-16xy-11{{y}^{2}}-12x+6y+21=0\]

\[{{x}^{2}}+16xy+11{{y}^{2}}-12x-6y+21=0\]

The equation of the hyperbola whose directrix is \[x+2y=1\], focus (2,

1.	The equation of the hyperbola whose directrix is \[x+2y=1\], focus (2, 1) and eccentricity 2 will be [MP PET 1988, 89]
A.	\[{{x}^{2}}-16xy-11{{y}^{2}}-12x+6y+21=0\]
B.	\[3{{x}^{2}}+16xy+15{{y}^{2}}-4x-14y-1=0\]
C.	\[{{x}^{2}}+16xy+11{{y}^{2}}-12x-6y+21=0\]
D.	None of these
Answer» B. \[3{{x}^{2}}+16xy+15{{y}^{2}}-4x-14y-1=0\]

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The equation of the hyperbola whose directrix is \[x+2y=1\], focus (2, 1) and eccentricity 2 will be [MP PET 1988, 89]

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