Write ‘True’ or ‘False’ and justify your answer.
The angle between two tangents to a circle may be 0°.
Write ‘True’ or ‘False’ and justify your answer.
The length of tangent from an external point P on a circle with centre O is always less than OP.
Write ‘True’ or ‘False’ and justify your answer.
The length of tangent from an external point on a circle is always greater than the radius of the circle.
Write ‘True’ or ‘False’ and justify your answer.
If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B is also 60°.
In figure, PQL and PRM are tangents to the circle with centre O at the points Q and R, respectively and S is a point on the circle such that ∠SQL = 50° and ∠SRM = 60°. Then ∠QSR is equal to 40°.
In Figure. BOA is a diameter of a circle and the tangent at a point P meets BA extended at T. If ∠PBO = 30°, then ∠PTA is equal to 30°.
In Fig. if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and ∠BQR = 70°, then ∠AQB is equal to
(A) 20° (B) 40° (C) 35° (D) 45°
In Fig. if PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then ∠OAB is equal to
(A) 25° (B) 30° (C) 40° (D) 50°
In Fig. if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠POQ is equal to
(A) 100° (B) 80° (C) 90° (D) 75°
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