Question 1 :
Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. The angles of the triangle DEF are 90°– mA, 90°– mB and 90°– mC. What is the value of m?
Question 2 :
The length of the complete circle is called its circumference. TRUE or FALSE?
Question 3 :
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 4 :
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 6 :
State true or false: ABCD is such a quadrilateral that A is the centre of the circle passing through B, C and D. Then $\angle CBD\ +\ \angle CDB\ =\frac{1}{2}\angle BAD$.
Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d120f59b460d7261f3d7.PNG' />
In the above figure, AOC is a diameter of the circle and arc AXB = $\frac{1}{2}$ arc BYC. Find $\angle BOC$.
Question 8 :
A quadrilateral ABCD is called _________ if all the four vertices of it lie on a circle.
Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d113f59b460d7261f3c4.PNG' />
In the above figure, if AOB is a diameter of the circle and AC = BC, then $\angle CAB$ is equal to
Question 10 :
A quadrilateral ABCD is inscribed in a circle such that AB is a diameter and $\angle ADC=130^{\circ}$. Find $\angle BAC$.
Question 11 :
If two chords of a circle are equal, then their corresponding arcs are congruent. TRUE or FALSE?
Question 12 :
State true or false: If a line is drawn parallel to the base of an isosceles triangle to intersect its equal sides, then the quadrilateral so formed is cyclic.
Question 13 :
State whether the given statement is true or false:- Through three collinear points a circle can be drawn.
Question 14 :
State True or False: Among all the chords of a circle passing through a given point inside the circle that one is smallest which is perpendicular to the diameter passing through the point.
Question 15 :
Line segment joining the centre to any point on the circle is a radius of the circle. TRUE or FALSE?
Question 17 :
Angles in the same segment of a circle are not necessarily equal. TRUE or FALSE?
Question 18 :
<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 19 :
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d116f59b460d7261f3c8.PNG' />
In the above figure, $\angle AOB=90^{\circ}$ and $ \angle ABC=30^{\circ}$, then $\angle CAO$ is equal to