Question 1 :
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

Question 2 :
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of $80^{\circ}$, then $\angle POA$ is equal to

Question 3 :
A line intersecting a circle in two points is called a _______.

Question 4 :
A tangent to a circle intersects it in _____ point (s)

Question 5 :
Is it TRUE or FALSE, that the angle between two tangents to a circle may be $0^{\circ}$?

Question 6 :
If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is

Question 7 :
The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

Question 8 :
If two tangents inclined at an angle $60^{\circ}$ are drawn to a circle of radius 3 cm, then length of each tangent is equal to

Question 9 :
Is it TRUE or FALSE that, 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?

Question 10 :
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a4b273b230584979917.JPG' /> In the above figure, a triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Find the sides AB and AC.

Question 12 :
Does a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A?

Question 13 :
Is it TRUE or FALSE, that the length of tangent from an external point on a circle is always greater than the radius of the circle?

Question 14 :
In two concentric circles , the chord of the larger circle , which touches the smaller circle , is bisected at the point of contact . Is this statement true ?

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b4c273b230584979972.PNG' /> In the above figure, The tangent at a point C of a circle and a diameter AB when extended intersect at P. If $\angle PCA=110^{\circ}$ , what is the value of $\angle CBA$?

Question 16 :
Is it TRUE or FALSE, that the length of tangent from an external point P on a circle with centre O is always less than OP?

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bcb273b230584979a19.PNG' /> In the above case, PQ is called a non-intersecting line with respect to the circle . TRUE OR FALSE ?

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bcc273b230584979a1a.JPG' /> The above image represents two tangents TP and TQ drawn to a circle with centre O from an external point T . Then

Question 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b42273b230584979965.PNG' /> In the above figure, if $\angle AOB = 125^{\circ}$, then $\angle COD$ is equal to

Question 20 :
Two concentric circless are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle

Question 21 :
The angle between the two tangents drawn from an external point to a circle is ______ to the angle subtended by the line-segment joining the points of contact at the centre.

Question 22 :
Two tangents PQ and PR are drawn from an external point to a circle with centre O. Is QORP is a cyclic quadrilateral?

Question 23 :
A tangent to a circle is a line that intersects the circle at only one point . TRUE or FALSE ?

Question 24 :
What is the common point of a tangent to a circle and the circle called?

Question 25 :
What is a line intersecting a circle in two points called?