Question

In what ratio does the point C(4,5) divides the join of A (2, 3) and B (7, 8) ?

Answer 1

Answer:

Step-by-step explanation:

let the ratio be k:1

now,

since the point C divides the line AB in the ratio k:1

for x coordinate,

4 = (1(7) + K(2))/k+1

4 = (7 + 2k)/k+1

4k+4 = 7 + 2k

2k= 3

k= 3/2

for y coordinate,

5 = (1(8) + K(3))/k+1

5 = (8+3k)/k+1

5k + 5 = 8 + 3k

2k = 3

k = 3/2

∴ k = 3/2

so the ratio is 3:2

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