[" 5."BC" is a chord of a circle with centre "O.A" is a point on an "],[" minor arc "BC" as shown in Fig."10.175" .Prove that "/_BAC],[-/_OBC=90^(@).]

BC is a chord with centre O. A is a point on an arc BC as shown in Figure.Prove that: /_BAC-/_OBC=90^(0), 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 Figure.Prove that: /_BAC+/_OBC=90^(0), if A is the point on the major arc.

BC is a chord with centre O. A is a point on an arc BC . Prove that: ∠BAC−∠OBC= 90^@ .

BC is a chord to a circle with centre O. A is a point on major are BC as shown in the below figure. What is the value of angle BAC + angle OBC ?

In the figure,BC is a chord of the circle with centre o and A is a point on the minor are BC. Then /_ABC-/_OBC is equal to

BC is a chord with centre O. A is a point on an arc BC . Prove that: ∠BAC+∠OBC= 90 , if A is the point on the major arc.

If two chords AB and AB of a circle with centre O are such that the centre O lies on the bisector of /_BAC; Prove that AB=AC

AB is a diameter and AC is a chord of a circle with centre O such that angleBAC=30^@ . The tangent at C intersects AB at a point D. Prove that BC=BD.

AB is a diameter of a circle with centre O and AC is a chord . The straight line through O parallel to AC meets the arc BC at D. Prove that, BD= CD.

AB is the diameter and AC is a chord of a circle with centre O such that angle BAC=30^(@) . The tangent to the circle at C intersects AB produced in D. Show that BC=BD.