Let ‘O’ be the centre of a circle, PQ is a diameter, then prove that `angle PRQ = 90^@` (OR) Prove that angle in a semi-circle is right angle.

Prove that angles in the same segment of a circle are equal.

Prove that an angle inscribed in a semi-circle is a right angle using vector method.

By vector method show that , an angle inscribed in a semi - circle is a right angle ,

Answer any One question : prove that semicirular angle is a right angle.

O is the circumcentre of the traiangle ABC prove that angleOBC+angle BAC=90^(@)

Semi-circular angle may or not right angle

In the adjoining figure, O is the centre of the circle AC is a diameter and chord DE is parallel to the diameter AC. If angle CBD=60^(@) , find the value of angle CDE

Answer any one question : Prove that angles in the same segment of a circle are equal.

The front angle formed at the centre of a circle by an are is half of the angle fromed by the same are at any point on the circle.

Prove that the front angle formed at the centre of a circle by an arc, is double of the angle formed by the same arc at any point on the circle.