Question

If `3bar"a" + 5bar"b" = 8bar"c"`, then A divides BC in tbe ratio ______.

Options

• 8 : 5 externally

• 8 : 5 internally

• 5 : 8 externally

• 5 : 8 internally

Answer 1

If `3bar"a" + 5bar"b" = 8bar"c"`, then A divides BC in tbe ratio 8 : 5 externally.

Explanation:

`3bar"a" + 5bar"b" = 8bar"c"`

`=> 3bar"a" = 8bar"c" - 5bar"b"`

`=> bar"a" = (8bar"c" - 5bar"b")/3`

`=> bar"a" = (8bar"c" - 5bar"b")/(8 - 5)`

∴ A divides BC in the ratio 8 : 5 externally.