Question

# the ratio in which YZ plane divides the line segment formed by joining the points (-2,4,7) and (3,-5,8)

Solution

## Let $$P \equiv \left( {o,h,s} \right)$$ be the point at which $$yz$$ plane interest  above point $$\left[ {\because \,x - coordinate = 0\,in\,yz\,plane} \right]$$also let the ratio be $$K:1$$$$0 = \dfrac{{ - 2K + 3}}{{K + 1}}$$$$\Rightarrow - 2K + 3 = 0$$$$\Rightarrow K = \dfrac{{ - 3}}{{ - 2}} = \dfrac{3}{2}$$$$\therefore$$ Required ratio is $$3:2$$Mathematics

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