If two members of family \( (2+\lambda) x+(1+2 \lambda) y- \) \( \m...

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If two members of family \( (2+\lambda) x+(1+2 \lambda) y- \)
\( \mathrm{P} \) \( 3(1+\lambda)=0 \) and line \( x+y=0 \) make an equilateral triangle,

WV then the incentre of triangle so formed is
(1) \( \left(\frac{1}{3}, \frac{1}{3}\right) \)
(2) \( \left(\frac{7}{6},-\frac{5}{6}\right) \)
(3) \( \left(\frac{5}{6}, \frac{5}{6}\right) \)
(4) \( \left(-\frac{3}{2},-\frac{3}{2}\right) \)
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