Question 1 : <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 2 :
State whether the given statement is true or false:- The angles subtended by a chord at any two points of a circle are equal.
Question 3 :
Suppose you are given a circle. Can its centre be located by construction?
Question 4 :
State whether the given statement is true or false:- Through three collinear points a circle can be drawn.
Question 6 :
Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Is BP = BQ?
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1a2f59b460d7261f493.png' />
In the above fig, the larger segment is called the ______________________.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d11bf59b460d7261f3cf.PNG' />
In the above figure, $\angle OAB=30^{\circ}$ and $\angle OCB=57^{\circ}$. Find $\angle AOC$.
Question 9 :
A, B and C are three points on a circle. State whether that the perpendicular bisectors of AB, BC and CA are concurrent or not.
Question 10 :
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
Question 11 :
If two equal chords of a circle intersect within the circle, the segments of one chord is equal to corresponding segments of the other chord. TRUE or FALSE?
Question 12 :
If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, then the chords are equal. True or False?
Question 13 :
State whether the given statement is true or false:- Two congruent circles with centres O and O′ intersect at two points A and B, then $\angle AOB=\angle AO'B$.
Question 14 :
State whether the given statement is true or false:- There is one and only one circle passing through three given non-collinear points.
Question 15 :
If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal. TRUE or FALSE?
Question 16 :
A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.
Question 17 :
State whether the given statement is true or false:- Angles in the same segment of a circle are equal.
Question 18 :
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 19 :
Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. ∠ABC is equal to ___________ the difference of the angles subtended by the chords AC and DE at the centre.
Question 20 :
ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70°, ∠ BAC is 30°, find ∠ BCD. Further, if AB = BC, find ∠ ECD.
Question 21 :
Angles in the same segment of a circle are not necessarily equal. TRUE or FALSE?
Question 23 :
The length of the complete circle is called its circumference. TRUE or FALSE?
Question 24 :
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1a1f59b460d7261f492.png' />
In the above fig, the shorter arc is called the _____________.
