What is the difference between a chord and an intersecting line (Secant) ? Explain with help of a figure.

Consider the following diagram in which $AB$ is the tangent to circle. Find the length of $OQ(in cm)$ if the measure of the largest chord of that circle is $6 cm$ and $PQ$ is $4 cm.$

Draw a circle of radius $3 cm$. and then draw a tangent at any point of it. 

In the given figure, AP and BP are tangents to a circle with centre O. If $\angle APB={62}^{\circ }$ then the measure of $\angle AQB$ is:

From a point $P$ outside a circle, $PAB$ is a secant and $PT$ is a tangent to the circle, where $A, B$ and $T$ are points on the circle. If $PT=5 cm, PA=4 cm$ and $AB=x cm$, then $x$ is equal to :

How many tangents are there to a circle, passing through a point lying on the circle?

From an external point$T$, two tangents $TP$and $TQ$ are drawn to a circle having its centre ate$O$. Prove that $\angle PTQ=2\angle OPQ$.

In the figure, chord $BC$ is extended to $P$. Tangent from $P$ to the circle is $PA$. $AQ$ is the bisector of $\angle BAC$. Write one pair of equal angles from the figure.

The length of tangents drawn from an external point to a circle are equal.

In the given figure, $\angle QRN=40°, \angle PQR=46°$ and $MN$ is a tangent at $R$. What is the value(in degrees) of $x, y$ and $z$ respectively?