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Let the point P divide QR in the ratio {tex}\lambda :1{/tex}, then the co-ordinate of P are
{tex}\left( {\frac{{5\lambda + 2}}{{\lambda + 1}},\frac{{\lambda + 2}}{{\lambda + 1}},\frac{{ - 2\lambda + 1}}{{\lambda + 1}}} \right){/tex}
But x - coordinate of P is 4. Therefore,
{tex}\frac{{5\lambda + 2}}{{\lambda + 1}} = 4 \Rightarrow \lambda = 2{/tex}
Hence, the z - coordinate of P is {tex}\frac{{ - 2\lambda + 1}}{{\lambda + 1}} = - 1{/tex}.
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Jaya Maheshwari 8 years, 1 month ago
2Thank You