In a circle, AB and CD are two diameters which are perpendicular to each other. Find the length of chord AC.
Answer & explanation
Correct answer: option 2
In triangle AOC ,
h² = b² + p²
AC² = OA² + OC²
{ OA = OC = Radius of circle }
AC² = OA² + OA²
AC² = 2OA²
AC² = 2 × (\(\frac{AB}{2}\))²
AC² = \(\frac{AB²}{2}\)
AC = \(\frac{AB}{√2}\)