Interaction between Line and Circle

Find the distance of the chord of length $16cm$, from the centre of the circle of diameter $20cm$$?$

Number of circles pass through three non-collinear points is equal to the number of circles pass through two distinct points.

Three circles pass through $3$ collinear points.

Draw a tangent at any point $P$ on the circle having radius $3$ units

The tangent to a circle is a special case of the secant when the two endpoints of corresponding chord coincide

The tangent to a circle is a special case of the secant.

$O$ is the center of the circle in the figure, and some line segments have been drawn. Find the two tangents to the circle

$O$ is the center of the circle in the figure, and some line segments have been drawn. Find the two intersecting lines of the circle

A chord is drawn of length $6 \mathrm{cm}$ in a circle of radius $5 \mathrm{cm}$. What is the distance (in $\mathrm{cm}$) the chord from the centre of the circle?

A straight line which passes through two points on a circle is

If the points, $A, B, C$ are non-collinear points, then how many circles can be drawn which passes through points $A, B$ and $C$?

A straight line passing through a point on a circle is

Line segment joining the centre and any point on the circle is a radius of the circle.

The tangent to a circle is a special case of the secant, when the two end points of its corresponding chord coincide.

The lengths of two parallel chords on one side of the centre of a circle are $6$ cm and $8$ cm. If they are at a distance of $1$ cm, then the diameter of the circle will be

In the below figure $O$ is the centre of the circle.

Fill in the blank is followed by the figure on your exercise book.

The line $PQ$ is the _____ of the circle.

In the below figure $O$ is the centre of the circle.

Fill in the blank is followed by the figure on your exercise book.

The line segment $CD$ is the _____ of the circle.

In the below figure $O$ is the centre of the circle.

Fill in the blank is followed by the figure on your exercise book.

The line segment $AB$ is the _____ of the circle.

Draw a circle with radius $2.5$ cm with centre $\mathrm{O}$. Take two points $\mathrm{A}$ and $\mathrm{B}$ on this circle so that $\angle \mathrm{AOB}=60°$. From the points $\mathrm{A}$ and $\mathrm{B}$ draw tangents to the circle $\mathrm{AP}$ and $\mathrm{BP}$ respectively. Write the measure of $\angle \mathrm{APB}$.

Draw a circle of radius $2.5 cm$. taking $O$ as a centre. Take a point $P$ on this circle. Draw the radius $OP$. Draw a normal perpendicular $PT$ at the point of the line segment $OP$. Is $PT$ a tangent of the circle?