Question Text
Question 1 :
ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Is AE = AD?
Question 2 :
State Yes or No: A circle has radius $\sqrt{2}$ cm. It is divided into two segments by a chord of length 2 cm. Then angle subtended by the chord at a point in major segment is $45^{\circ}$.
Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1a6f59b460d7261f499.png' />
Using the above fig, find out if the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic.
Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1a1f59b460d7261f491.png' />
In the above fig, the longer arc is called the _____________.
Question 5 :
Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between Reshma and Mandip?
Question 6 :
State whether the given statement is true or false:- Two chords of a circle of lengths 10 cm and 8 cm are at the distances 8.0 cm and 3.5 cm, respectively from the centre.
Question 7 :
Chords equidistant from the centre of a circle are not necessarily equal in length. TRUE or FALSE?
Question 8 :
Angles in the same segment of a circle are not necessarily equal. TRUE or FALSE?
Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d11ef59b460d7261f3d4.PNG' />
In the above figure, O is the centre of the circle, $\angle BCO=30^{\circ}$. Find x.
Question 10 :
The centre of a circle lies in ____________ of the circle.