Tangent to a Circle

What is point of tangency?

Draw a tangent at any point $R$ on a circle of radius $3.5 cm$ and centre $P.$

Draw a circle with radius $3 cm$and construct a pair of tangents from a point $8 cm$away from the centre.

$\mathrm{ABCD}$ is a cyclic quadrilateral and $\mathrm{PQ}$ is a tangent to the circle at $C$.  If $\mathrm{BD}$ is a diameter, $\angle DCQ=40°$ and $\angle ABD=60°$,  the measure of $\angle \mathrm{BCP}=k°$. Then find the value of $k$

To draw a pair of tangents to a circle which are inclined to each other at an angle of $60°$, it is required to draw tangents at the end points of those two radii of the circle. If the angle between them is $x°$, then the value of $x$ is

$\angle QOP={70}^o$ $\angle QPR= ?$

Consider two concentric Circles where PQ is tangent to outer circle and PR is tangent to inner circle, PQ = 4 cm, OQ = 3 cm and OR = 2 cm, then find the length of PR, (O is the common centre of the two concentric circles).

QA and PB are tangents to the circle. Find $\angle AQB$

Find R

$\mathrm{In\; the\; given\; fig.\; find\; \angle }OPB= ?$

$\angle AOB={125}^o$ . Find $\angle COD$

A circle can have at most how many parallel tangents.

Two tangent are drawn to a circle with centre 'O' from an external point T. PO : OS = $2 : \sqrt{3}$ . Find $\angle PTQ$

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle ${80}^o$ the $\angle POA$ is

If TP and TQ are two tangents to circle with centre O so that $\angle POQ={110}^o$ then $\angle PTQ$ is ?

Number of tangents to a circle from an external point.

If a line touches the circle at only one point, then it is known as

In two concentric circles, that a chord of larger circle which is tangent to smaller circle is bisected at the point of contact. Then which of following statement true.

Length Of a tangent from a point A at distance 5 cm from the centre Of the circle is 4 Cm. the radius Of the Circle

$\mathrm{In}\mathrm{ }\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{ }\mathrm{g}\mathrm{i}\mathrm{v}\mathrm{e}\mathrm{n}\mathrm{ }\mathrm{f}\mathrm{i}\mathrm{g}.\mathrm{ }\mathrm{ }\mathrm{i}\mathrm{f}\mathrm{ }\mathrm{T}\mathrm{P}\mathrm{ }\mathrm{T}\mathrm{Q}\mathrm{ }\mathrm{ }\mathrm{a}\mathrm{r}\mathrm{e}\mathrm{ }\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{ }\mathrm{t}\mathrm{w}\mathrm{o}\mathrm{ }\mathrm{t}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}\mathrm{n}\mathrm{t}\mathrm{s}\mathrm{ }\mathrm{t}\mathrm{o}\mathrm{ }\mathrm{a}\mathrm{ }\mathrm{c}\mathrm{i}\mathrm{r}\mathrm{c}\mathrm{l}\mathrm{e}\mathrm{ }\mathrm{ }\mathrm{w}\mathrm{i}\mathrm{t}\mathrm{h}\mathrm{ }\mathrm{c}\mathrm{e}\mathrm{n}\mathrm{t}\mathrm{e}\mathrm{r}\mathrm{ }\mathrm{O}\mathrm{ }\mathrm{s}\mathrm{o}\mathrm{ }\mathrm{t}\mathrm{h}\mathrm{a}\mathrm{t}\mathrm{ }\mathrm{\angle }\mathrm{P}\mathrm{O}\mathrm{Q}=110°\mathrm{ },\mathrm{ }\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{n}\mathrm{ }\mathrm{ }\mathrm{\angle }\mathrm{P}\mathrm{T}\mathrm{Q}\mathrm{ }\mathrm{i}\mathrm{s}\mathrm{ }?$