Question 1 :
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 2 :
State whether the given statement is true or false:- Angles in the same segment of a circle are equal.
Question 3 :
State whether the given statement is true or false:- Two chords AB and AC of a circle with centre O are on the opposite sides of OA, then $\angle OAB=\angle OAC$.
Question 4 :
The distance of a line from a given point is found out by calculting the length of the perpendicular from the point to the line. TRUE or FALSE?
Question 5 :
State whether the given statement is true or false:- Congruent arcs of a circle subtend equal angles at the centre.
Question 7 :
State whether the given statement is true or false:- Two chords AB and CD of a circle are each at distances 4 cm from the centre, then AB = CD.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d113f59b460d7261f3c3.PNG' />
In the above figure, if $\angle OAB=40^{\circ}$, then $\angle ACB$ is equal to
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d11af59b460d7261f3ce.PNG' />
In the above figure, $\angle OAB=30^{\circ}$ and $\angle OCB=57^{\circ}$. Find $\angle BOC$.
Question 10 :
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
Question 11 :
State whether the given statement is true or false:- If AOB is a diameter of a circle and C is a point on the circle, then $AC^2+BC^2=AB^2$.
Question 12 :
State whether the given statement is true or false:- If A, B, C, D are four points such that $\angle BAC=30^{\circ}$ and $\angle BDC=60^{\circ}$, then D is the centre of the circle through A, B and C.
Question 13 :
If two chords of a circle are equal, then their corresponding arcs are congruent. TRUE or FALSE?
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1aaf59b460d7261f49d.JPG' />
In the above fig, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC.
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 :
State Yes or No: If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, then PA is angle bisector of $\angle BPC$.
Question 17 :
If chords of congruent circles subtend equal angles at their centres, then the chords are not necessarily equal. TRUE or FALSE?
Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1a3f59b460d7261f494.png' />
In the above fig, the smaller segment is called the ______________________.
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d11cf59b460d7261f3d0.PNG' />
State Yes or No: In the above figure, if two chords AB and CD of a circle AYDZBWCX intersect at right angles, Then arc CXA + arc DZB = arc AYD + arc BWC = semicircle.
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d119f59b460d7261f3cd.PNG' />
In the above figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of $\angle ACD+\angle BED$.
