Question

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

Answer 1

Answer:

a=1 & b=-3

Explanation:

Let the point of division be P

P(9a-2,-b) = 3(8a) + 1(3a+1)/3+1, 3(5) + 1(-3)/3+1

                  =24a+3a+1/4, 15-3/4

                  = 27a+1/4 , 12/4

                  = 27a+1/4 , 3

Therefore, 9a-2 = 27a+1/4     &    -b=3

                  36a-8 = 27a + 1       &  b= -3

                  9a = 9

                   a = 1

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