Question

Two equal circles intersect in A and B. Through B. a straight line is drawn to meet circumference in X and Y.
Which of the following is true?
(A) AX = BX
(B) AX = AY
(C) AY = BY
(D) AX = AB​

Answer 1

Answer: Given,Two equal circles intersect in A and B. Through B. a straight line is drawn to meet circumference in X and Y.

The answer is AX=AY

Explanation as follows.

Answer 2

AX = AY  if Two equal circles intersect in A and B. Through B. a straight line is drawn to meet circumference in X and Y.

Step-by-step explanation:

Two equal circles intersect in A and B.

=> AB is common chord of both circle

Both circles have same radius

hence angle subtended by AB in both circles wouldbe equal

=> ∠AXB = ∠AYB

=> ∠AXY = ∠AYX

now in Δ AXY

∠AXY = ∠AYX

=> AX = AY

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