Dr Pooranmal and Ashfaq A Khan Solutions for Chapter: Circles, Exercise 1: EXERCISE 19.1

In the given figure, $XZ$ is a diameter and $W$ is the mid-point $XY$. Show that $XZ=ZY$.

In the given figure, $O$ is the centre of the circle, find the values of $x, y \text{and} z$.

$AB$ is the diameter of the circle. Find $\angle ACB, \angle ZADB \text{and} \angle AEB$

AB is the diameter of the circle whose length is $5 cm$, if $BC=4 cm$, find the length of $AC$.

In the given figure, two chords $AB$ and $CD$ of a circle intersect each other. $AC, BD \text{and} CB$ are joined. If $\angle ACB=105°, \angle BDC=34°$, find $\angle ABC$.

In the given figure, XZ is a diameter and Wis the mid point
of XY. Show that XZ = ZY.

In the given figure, $O$ is the centre of the circle. If $\angle ABO=30°$, find $\angle AOB$, $\angle ADB$ and $\angle BDC$.

In the given figure, $△ABC$ is inscribed in a circle. The bisector of $\angle A$ meets the circle in $L$ and the bisector of $\angle C$ meets $AL$ at $K$. If $\angle BAC=80°$ and $\angle ACB=60°$, find $\angle LKC$ and $\angle LCK$.