Question Text
Question 1 :
ACB is tangent to a circle at C. CD and CE are chords such that $\angle ACE > \angleACD$. If $\angle ACD = \angle BCE = 50^{\circ}$, then which is correct answer?
Question 2 :
Draw a circle and any two of its diameters. If you join the ends of these diameters, and if the diameters are perpendicular to each other the figure formed is a Rhombus
Question 5 :
Line segment joining the centre to any point on the circle is 
Question 6 :
A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Question 7 :
Write True or False and justify your answer: <br/>Two chords AB and AC of a circle with center O are on the opposite sides of OA . Then $ \angle $ OAB = $ \angle $ OAC .
Question 8 :
The points $A,\,B\;and\;C$ be on a circle in such a way that the $\angle ABC=52^{\circ}$ and $\angle ACB=78^{\circ}$. The measure of the angle subtended at the centre by the arc $BC$ will be
Question 9 :
For a triangle ABC, with BC as the diameter of circle, if radius is 5 cm and AB = 8 cm. Find AC .
Question 10 :
In a cyclic quadrilateral ABCD, $\angle A=5x, \angle C=4x$ the value of x is
Question 11 :
A chord of length $16$ cm is drawn in a circle at a distance of $15$ cm from its center. Find the radius of the circle.<br/>
Question 12 :
$\triangle ABC$ is inscribed in a circle. Point $P$ lies on the circle between $A$ and $C$. If $m(\text{arc}\, APC) = 60^\circ$ and $\angle BAC = 80^\circ$, find $m\angle ABC.$