Question

In what ratio is the line joining the points A (4,4) and B (7,7) divided by P( -1,-1 ) ? *

3:8

-5:8

1:2

2:1

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Answer 1

Step-by-step explanation:

let the ratio be k:1, them m = k and n = 1

Py = (my2 - ny1)/(m + n)

=> Py = (k × 7 + 1 × 4)/(k + 1)

=> Py = 7k + 4 / k + 1

but Py = -1

therefore -1 = 7k + 4/k + 1

=> -1(k + 1) = 7k + 4 [ by cross multiplication ]

=> - k - 1 = 7k + 4

=> - 5 = 8k

=> k = -5/8 => -5 : 8 ratio can not be minus ?