Mahabir Singh Solutions for Chapter: Circles, Exercise 2: ACHIEVERS SECTION (HOTS)

In the given figure, $A$ and $B$ are the centres of two circles that intersect at $X$ and $Y$, $PXQ$ is a straight line. If reflex angle $QBY=210°$
Find the obtuse angle $PAY$

$AB$ is a chord of length $24 \mathrm{cm}$ of a circle of radius $13 \mathrm{cm}$. The tangents at $A$ and $B$ intersect at the point $C$. Find the length $AC$

Match the following

The radii of two concentric circles are $13 \mathrm{cm}$ and $8 \mathrm{cm}. AB$ is a diameter of the bigger circle. $BD$ is a tangent to the smaller circle touching it at $D.$ Find the length of $AD$.

In the given figure, $O$ is the centre of a circle, $PQL$ and $PRM$ are the tangents at the points $Q$ and $R$ respectively and $S$ is a point on the circle such that $\angle SQL=50°$ and $\angle SRM=60°$.Then find $\angle QSR$ and $\angle RPQ$