Question

Two chords in a circle are equal in lengh.The distances from the centre of the circle can be represented by x2 and 4x respectively.How far is it chord from the centre of the circle?[Under the topic of properties of a circle.]

Answer 1

if the chords have the same length, they are the same distance from the center. So,

x^2 = 4x
x = 4 or 0

So, they are 16 units from the center.

Or, they are both diameters, passing through the center.