Q4 of 10 Page 171

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 & b.

To find the values of a and b we need to use the sectional formula, which is,




⇒ 4(9a – 2) = 24a + 3a + 1


⇒ 36a – 8 = 27a + 1


⇒ 9a = 9


⇒ a = 1


∴ The value of a is 1






⇒ –b = 3


⇒ b = –3


∴The value of b = –3


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