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Points X and Y are taken on the sides QR and RS, respectively of a parallelogram PQRS, so that `QX=4XR` and `RY=4YS` The line XY cuts the line PR at Z Find the ratio PZ: ZR

Text Solution

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`Yvecq+YvecS=lambda/(5(lambda+1))vecq+4/5*1/(lambda+1)vecs`
`Y=lambda/(5(lambda+1))`
`Y=4/(5(lambda+1))`
`lambda=4`
`Y=4/25`
`Z=4/25vec(PR)`
ratio=21:4.
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