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Find the ratio in which the point (2,y) divides the line segment joining (4,3) and (6,3) and hence find the value of y .

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Solution: Let A(4,3),B(6,3);and;P(2,y)

Let P divides AB Internally in the ratio k:1

Then ,             2=6k+4/k+1Rightarrow k=-1/2

	herefore P divides AB externally in the ratio 1:2

Now,                         y=(1	imes 3-2	imes 3/1-2)=3

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Deependra Verma

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