BC is a chord with centre O. A is a point on an arc BC as shown in the

1.	BC is a chord with centre O. A is a point on an arc BC as shown in the figure. Prove that: (i) ∠BAC+∠OBC=90∘, if A is the point on the major arc (ii) ∠BAC−∠OBC=90∘, if A is the point on the minor arc.
Answer» BC is a chord with centre O. A is a point on an arc BC as shown in the figure. Prove that: (i) $∠ B A C + ∠ O B C = 90^{\circ}$ , if A is the point on the major arc (ii) $∠ B A C - ∠ O B C = 90^{\circ}$ , if A is the point on the minor arc.

BC is a chord with centre O. A is a point on an arc BC as shown in the figure. Prove that: (i) ∠BAC+∠OBC=90∘, if A is the point on the major arc (ii) ∠BAC−∠OBC=90∘, if A is the point on the minor arc.

Answer»

BC is a chord with centre O. A is a point on an arc BC as shown in the figure. Prove that:

(i) $∠ B A C + ∠ O B C = 90^{\circ}$ , if A is the point on the major arc

(ii) $∠ B A C - ∠ O B C = 90^{\circ}$ , if A is the point on the minor arc.