If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2 : 3 then find the value of k.
Question:
If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2 : 3 then find the value of k.
Solution:
Here, the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2 : 3. So
$k=\frac{2 \times 5+3 \times 2}{2+3}$
$=\frac{10+6}{5}$
$=\frac{16}{5}$
Hence, $k=\frac{16}{5}$.
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