Question Text
Question 1 :
Equal chords of a circle subtend equal angles at the centre. TRUE or FALSE?
Question 2 :
A circle is drawn with any side of a rhombus as diameter, does it pass through the point of intersection of its diagonals?
Question 3 :
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 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d115f59b460d7261f3c7.PNG' />
In the above figure, BC is a diameter of the circle and $\angle BAO=60^{\circ}$. Then $\angle ADC$ is equal to
Question 5 :
A point, whose distance from the centre of a circle is greater than its radius lies in _______________ of the circle.
Question 6 :
State Yes or No: If two equal chords AB and CD of a circle when produced intersect at a point P then PB = PD.
Question 7 :
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In the above fig, the smaller segment is called the ______________________.
Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d120f59b460d7261f3d6.PNG' />
In the above figure, two congruent circles have centres O and O′. Arc AXB subtends an angle of $75^{\circ}$ at the centre O and arc A′YB′ subtends an angle of $25^{\circ}$ at the centre O′. Then the ratio of arcs AXB and A′YB′ is
Question 9 :
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 10 :
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In the above fig, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC.