A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x+y=0 which lies in the second quadrant. Then the locus of the midpoint of the line has equation

\[{{x}^{2}}+5{{y}^{2}}+4xy+1=0\]

\[{{x}^{2}}+5{{y}^{2}}+4xy-1=0\]

\[{{x}^{2}}+5{{y}^{2}}-4xy-1=0\]

\[4{{x}^{2}}+5{{y}^{2}}+4xy+1=0\]

A line of fixed length 2 units moves so that its ends are on the posit

1.	A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x+y=0 which lies in the second quadrant. Then the locus of the midpoint of the line has equation
A.	\[{{x}^{2}}+5{{y}^{2}}+4xy-1=0\]
B.	\[{{x}^{2}}+5{{y}^{2}}+4xy+1=0\]
C.	\[{{x}^{2}}+5{{y}^{2}}-4xy-1=0\]
D.	\[4{{x}^{2}}+5{{y}^{2}}+4xy+1=0\]
Answer» B. \[{{x}^{2}}+5{{y}^{2}}+4xy+1=0\]

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A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x+y=0 which lies in the second quadrant. Then the locus of the midpoint of the line has equation

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