Diameter is the largest chord of the circle. (True/False)

In the fig. O is the centre of the circle and XOY is diameter. If XZ is any other chord of the circle show that XY>XZ

Determine the equation of the circle whose diameter is the chord x + y = 1 of the circle x^2 +y^2= 4 .

O is the centre of the circle. (a) Name all the chords of the circle. (b) Name all the radii of the circle. (c) Name the chord which is not the diameter of the circle. (d) Identify three sectors of the circle. (e) Which is the smaller and larger segment of the circle.

Prove that a diameter of a circle which bisects a chord of the circle, also bisects the angles subtended by the chord at the centre of the circle.

If the length of a chord of a circle at a distance of 24 cm from the centre of a circle is 36 cm, find the length of the greatest chord of the circle.