‘O’ is the center of a circle and PQ is a diameter. R is a point on the circle such that PR = RQ, then the value of ∠RPQ: (a) 30° (b) 90° (c) 60° (d) 45°

State True/False: “The equal chords of a circle are at equal distances from the centre of the circle.”

AB is a diameter of a circle with centre O. If the chord AC subtends ∠60° at the centre then value of ∠OCB is (a) 20° (b) 30° (c) 40° (d) 50°

The angle in the segment of a circle which is greater than a semicircle is acute or obtuse?

Fill up the blank : The front angle formed at the center of a circle by an arc is the ____ of the angle formed by the same arc at any point on the circle.

O is the circumcentre of the triangle ABC. OD ⊥ BC. Prove that ∠BOD = ∠BAC.

AOB is a diameter of a circle whose center is O. The point C lies on the circle. If ∠OBC = 60°, find the value of ∠OCA.

AB is the diameter of the circle with centre O. From a point P on the circle, a perpendicular PN is drawn on AB. Prove geometrically that PB² = AB.BN.

Prove that in any circle, angles in the same segment are equal.

Write a difference between the geometric angle and trigonometrical angle.

Find the value of angle in degree made by the tangent of a circle with the radius of that circle at the point of contact

Mode = 2 × Median – 3 × Mean.