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If P ( 9a -2, -b) divides the line segme...

If `P ( 9a -2, -b)` divides the line segment joining the points `A (31 +1, -3) and B ( 81, 5)` in the ratio `3:1:` Find the values of a and b.

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`therefore" "9a-2=(3(8a)+1(3a+1))/(3+1)`

`rArr" "36a-8=24a+3a+1`
`rArr" "9a=9" "rArr" "a=1`
`and" "-b=(3(5)+1(-3))/(3+1)=3`
`rArr" "b=-3`
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