R S Aggarwal and Veena Aggarwal Solutions for Exercise 4: TEST YOURSELF

In the given figure, a quadrilateral $ABCD$ is drawn to circumscribe a circle such that its sides $AB, BC, CD$ and $AD$ touch the circle at $P, Q, R$ and $S$ respectively. If $AB=x \mathrm{cm}, BC=7 \mathrm{cm}, CR=3 \mathrm{cm}$ and $AS=5 \mathrm{cm}$ find the value of $x$.

In the given figure, $PA$ and $PB$ are two tangents from an external point $P$ to a circle with centre $O$. If $\angle PBA=65°$ and the sum of  $\angle OAB$ and $\angle APB$ is $k°$, then find the value of $k$.

A line intersecting a circle in two distinct points is called a _____.

A circle can have _____ parallel tangents at the most.

The common point of a _____ to a circle and the circle is called the Point of Contact.

A circle can have _____ tangents.(zero/one/two/infinite)

Two concentric circles are of radii $5 cm$ and $3 cm$ respectively. Find the length of the chord in $\mathrm{cm}$ of the larger circle which touches the smaller circle.

$PQ$ is a chord of length $16 cm$ of a circle of radius $10 cm.$ The tangents at $P$ and $Q$ intersect at a point $T.$ as shown in the figure.

Find the length of $TP.$