Question

If AB is a chord to a circle with Centre O. X and Y are points on the circumference of the circle. Lines are drawn connecting A and B with O, X and Y. Match the following on the basis of angles made by A and B.

• A. I - (a)
  II - (c)
  III- (b)
• B. I - (c)
  II - (a)
  III- (b)
• C. I - (a)
  II - (b)
  III- (c)
• D. I - (b)
  II - (c)
  III- (a)

Answer 1

The correct option is D I - (b)

II - (c)
III- (a)

Here AB is the given chord, AXB is the major arc and AYB is the minor arc.

Therefore,

$\angle$AXB is the angle the chord makes at the major arc of the circle,

$\angle$AYB is the angle the chord makes at the minor arc of the circle and

$\angle$AOB is the angle the chord makes at the centre of the circle.