1.

If point P(9a-2, b) divides the line segment joining the points A(3a+1, -3) and B(8a, 5) in the ratio 3 : 1, then find the values of a and b.

Answer»

SOLUTION :`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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