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Circles

Write ‘True’ or ‘False’ and justify your answer.

The angle between two tangents to a circle may be 0°.

08/11/2024

Mathematics

10th

Circles

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.

08/11/2024

Mathematics

10th

Circles

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.

08/11/2024

Mathematics

10th

Circles

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°.

08/11/2024

Mathematics

10th

Circles

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°.

 

08/11/2024

Mathematics

10th

Circles

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°.

08/11/2024

Mathematics

10th

Circles

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°

08/11/2024

Mathematics

10th

Circles

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°

08/11/2024

Mathematics

10th

Circles

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°

08/11/2024

Mathematics

10th

Circles

At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn  to  the  circle.  The  length  of  the  chord  CD parallel  to  XY  and  at  a distance 8 cm from A is

(A) 4 cm (B) 5 cm (C) 6 cm (D) 8 cm

08/11/2024

Mathematics

10th