Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b44273b230584979967.PNG' /> In the above figure, AT is a tangent to the circle with centre O such that OT = 4 cm and $\angle OTA = 30^{\circ}$. Then AT is equal to

Question 2 :
The lengths of tangents drawn from an external point to a circle are equal . TRUE or FALSE ?

Question 3 :
A tangent to a circle is a line that intersects the circle at only one point . TRUE or FALSE ?

Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bcf273b230584979a1e.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 side AB .

Question 5 :
The opposite sides of a quadrilateral circumscribing a circle subtend ________ angles at the centre of the circle.

Question 6 :
Two tangents PQ and PR are drawn from an external point to a circle with centre O. Is QORP is a cyclic quadrilateral?

Question 7 :
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 8 :
How many parallel tangents at the most can a circle have?

Question 9 :
<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 10 :
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 11 :
A line intersecting a circle in two points is called a _______.

Question 12 :
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 13 :
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 14 :
State true or false. Only two tangents can be drawn to a circle from an external point.

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b45273b230584979969.PNG' /> In the above figure, if PA and PB are tangents to the circle with centre O such that APB = $50^{\circ}$, then $\angle OAB$ is equal to

Question 16 :
Is it TRUE or FALSE, that if angle between two tangents drawn from a point P to a circle of radius a and centre O is $90^{\circ}$, then OP = $a \sqrt{2}$ ?

Question 17 :
<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 18 :
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 19 :
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 20 :
Do the centre of a circle touching two intersecting lines lies on the angle bisector of the lines?