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Circles

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

AB is a diameter of a circle and AC is its chord such that ∠BAC = 30°. If the tangent at C intersects AB extended at D, then BC = BD.

08/11/2024

Mathematics

10th

Circles

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

If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

08/11/2024

Mathematics

10th

Circles

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

If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.

08/11/2024

Mathematics

10th

Circles

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

The tangent to the circumcircle of an isosceles triangle ABC at A, in which AB = AC, is parallel to BC.

08/11/2024

Mathematics

10th

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