Angle Subtended by Equal Chords at the Center are Equal

Q. In figure, if $\angle AOB=\angle COD,$ then $AB:CD=$

1. $1$
2. $2$
3. $0.5$
4. $3$

Q. In the given figure, if $O$ is the center of circle and $AD=BC$, then choose the correct option.

1. $\angle AOC=\angle BOD$
2. $AC=BD$
3. $\angle BAD=\angle ABC$
4. All of the above.

Q. In the given figure,

If $O$ is the center of the circle and $\angle AOB=\angle BOC={120}^o$, then $△ABC$ is

1. Equilateral triangle
2. Right angled triangle
3. Isosceles triangle
4. Scalene triangle

Q.
In the figure, $O$ is the center of circle and $AB=AC$. Find $\angle BOC$.

1. ${54}^o$
2. ${56}^o$
3. ${47}^o$
4. ${27}^o$

Q. Which of the following is correct ?

1. Chords making equal angles at the center of the circle are equal to each other.
2. Equal chords of same circle can make unequal angles at the center of the circle.

Q. In the given figure,

$AB=DC$, and $O$ is the center of the circle,
find $\angle DOC$.

1. ${130}^o$
2. ${15}^o$
3. ${65}^o$
4. None of these