Question

What is the value of n?

Answer 1

`n=6`

Explanation:

When two chords of a circle intersect each other,

Product of the segments of one chord is equal to the product of the segments of the other chord.

For detailed proof refer here.

Hence `7(n+4)=5(n+8)`

or `7n+28=5n+40`

or `7n-5n=40-28`

or `2n=12`

That is(i.e.) `n=12/2=6`