Question

if the point d divides line segment joining internally in the ratio 2:3 then find the length of AD

Answer 1

Step-by-step explanation:

Let the coordinates of B be (α,β). It is given that AC;BC=3:4. So, the coordinates of a C are

(3+43α+4×2,3+43β+4×5)=(73α+8,73β+20)

But, the coordinates of C are (-1,2).

∴73α+8=−1and73β+20=2

⇒α=−5andβ=−2

Thus, the coordinates of B are (−5,−2)

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