Classes

Class 10 Math Angles in a Segment of a Circle 3. A O B and C O D are two intersecting chords of a circle. Show that \triangle^{s} A O D and B O C are equiangular.


Change the way you learn with Maqsad's classes. Local examples, engaging animations, and instant video solutions keep you on your toes and make learning fun like never before!

Class 9Class 10First YearSecond Year
3. A O B and C O D are two intersecting chords of a circle. Show that \triangle^{s} A O D and B O C are equiangular.

1. Prove that in a given cyclic rilateral sum of opposite angles is two right angles and coiversely.
1. Prove that in a given cyclic rilateral sum of opposite angles is two right angles and coiversely.

1. Prove that in a given cyclic rilateral sum of opposite angles is two right angles and coiversely.

(ix) In the figure O is the centre of the circle then the angle x is:(a) 15^{\circ} (b) 30^{\circ} (c) 45^{\circ} (d) 60^{\circ}
(ix) In the figure  O  is the centre of the circle then the angle  x  is:(a)  15^{\circ} (b)  30^{\circ} (c)  45^{\circ} (d)  60^{\circ}

(ix) In the figure O is the centre of the circle then the angle x is:(a) 15^{\circ} (b) 30^{\circ} (c) 45^{\circ} (d) 60^{\circ}

(iii) In the adjacent figure if m \angle 3=75^{\circ} then find m \angle 1 and m \angle 2 .(a) 37 \frac{1}{2} 37 \frac{1}{2}^{\circ} (b) 37 \frac{1}{2}^{\circ} 75^{\circ} (c) 75^{\circ} 37 \frac{1}{2}^{\circ} (d) 75^{\circ} 75^{\circ}
(iii) In the adjacent figure if  m \angle 3=75^{\circ}  then find  m \angle 1  and  m \angle 2 .(a)  37 \frac{1}{2} 37 \frac{1}{2}^{\circ} (b)  37 \frac{1}{2}^{\circ} 75^{\circ} (c)  75^{\circ} 37 \frac{1}{2}^{\circ} (d)  75^{\circ} 75^{\circ}

(iii) In the adjacent figure if m \angle 3=75^{\circ} then find m \angle 1 and m \angle 2 .(a) 37 \frac{1}{2} 37 \frac{1}{2}^{\circ} (b) 37 \frac{1}{2}^{\circ} 75^{\circ} (c) 75^{\circ} 37 \frac{1}{2}^{\circ} (d) 75^{\circ} 75^{\circ}

(i) A circle passes through the vertices of a right angled \triangle A B C with m \overline{A C}=3 \mathrm{~cm} and m \overline{B C}=4 \mathrm{~cm} m \angle C=90^{\circ} . Radius of the circle is:(a) 1.5 \mathrm{~cm} (b) 2.0 \mathrm{~cm} (c) 2.5 \mathrm{~cm} (d) 3.5 \mathrm{~cm}
(i) A circle passes through the vertices of a right angled  \triangle A B C  with  m \overline{A C}=3 \mathrm{~cm}  and  m \overline{B C}=4 \mathrm{~cm} m \angle C=90^{\circ} . Radius of the circle is:(a)  1.5 \mathrm{~cm} (b)  2.0 \mathrm{~cm} (c)  2.5 \mathrm{~cm} (d)  3.5 \mathrm{~cm}

(i) A circle passes through the vertices of a right angled \triangle A B C with m \overline{A C}=3 \mathrm{~cm} and m \overline{B C}=4 \mathrm{~cm} m \angle C=90^{\circ} . Radius of the circle is:(a) 1.5 \mathrm{~cm} (b) 2.0 \mathrm{~cm} (c) 2.5 \mathrm{~cm} (d) 3.5 \mathrm{~cm}

3. A O B and C O D are two intersecting chords of a circle. Show that \triangle^{s} A O D and B O C are equiangular.
3.  A O B  and  C O D  are two intersecting chords of a circle. Show that  \triangle^{s} A O D  and  B O C  are equiangular.
now playing

3. A O B and C O D are two intersecting chords of a circle. Show that \triangle^{s} A O D and B O C are equiangular.

4. \overline{A D} and \overline{B C} are two parallel chords of a circle. Prove that arc A B \cong \operatorname{arc} C D and arc A C \cong \operatorname{arc} B D .
4.  \overline{A D}  and  \overline{B C}  are two parallel chords of a circle. Prove that arc  A B \cong \operatorname{arc} C D  and arc  A C \cong \operatorname{arc} B D .

4. \overline{A D} and \overline{B C} are two parallel chords of a circle. Prove that arc A B \cong \operatorname{arc} C D and arc A C \cong \operatorname{arc} B D .

(ii) In the adjacent circular figure central and inscribed angles stand on the same arc A B . Then(a) m \angle 1=m \angle 2 (b) m \angle 1=2 m \angle 2 (c) m \angle 2=3 m \angle 1 (d) m \angle 2=2 m \angle 1
(ii) In the adjacent circular figure central and inscribed angles stand on the same arc  A B . Then(a)  m \angle 1=m \angle 2 (b)  m \angle 1=2 m \angle 2 (c)  m \angle 2=3 m \angle 1 (d)  m \angle 2=2 m \angle 1

(ii) In the adjacent circular figure central and inscribed angles stand on the same arc A B . Then(a) m \angle 1=m \angle 2 (b) m \angle 1=2 m \angle 2 (c) m \angle 2=3 m \angle 1 (d) m \angle 2=2 m \angle 1

Example 1: Two equal circles intersect in A and B . Through B a straight line is drawn to meet the circumferences at P and Q respectively. Prove that m \overline{A P}=m \overline{A Q} .
Example 1: Two equal circles intersect in  A  and  B . Through  B  a straight line is drawn to meet the circumferences at  P  and  Q  respectively. Prove that  m \overline{A P}=m \overline{A Q} .

Example 1: Two equal circles intersect in A and B . Through B a straight line is drawn to meet the circumferences at P and Q respectively. Prove that m \overline{A P}=m \overline{A Q} .

(viii) In the figure O is the centre of the circle then angle x is:(a) 15^{\circ} (b) 30^{\circ} (c) 45^{\circ} (d) 60^{\circ}
(viii) In the figure  O  is the centre of the circle then angle  x  is:(a)  15^{\circ} (b)  30^{\circ} (c)  45^{\circ} (d)  60^{\circ}

(viii) In the figure O is the centre of the circle then angle x is:(a) 15^{\circ} (b) 30^{\circ} (c) 45^{\circ} (d) 60^{\circ}

(iv) Given that O is the centre of the circle. The angle marked x will be:(a) 12 \frac{1}{2}^{\circ} (b) 25^{\circ} (c) 50^{\circ} (d) 75^{\circ}
(iv) Given that  O  is the centre of the circle. The angle marked  x  will be:(a)  12 \frac{1}{2}^{\circ} (b)  25^{\circ} (c)  50^{\circ} (d)  75^{\circ}

(iv) Given that O is the centre of the circle. The angle marked x will be:(a) 12 \frac{1}{2}^{\circ} (b) 25^{\circ} (c) 50^{\circ} (d) 75^{\circ}

(x) In the figure O is the centre of the circle then the angle x is:(a) 50^{\circ} (b) 75^{\circ} (c) 100^{\circ} (d) 125^{\circ}
 (x)  In the figure  O  is the centre of the circle then the angle  x  is:(a)  50^{\circ} (b)  75^{\circ} (c)  100^{\circ} (d)  125^{\circ}

(x) In the figure O is the centre of the circle then the angle x is:(a) 50^{\circ} (b) 75^{\circ} (c) 100^{\circ} (d) 125^{\circ}

(vii) In the figure O is the centre of the circle then the angle x is:(a) 55^{\circ} (b) 110^{\circ} (c) 220^{\circ} (d) 125^{\circ}
(vii) In the figure  O  is the centre of the circle then the angle  x  is:(a)  55^{\circ} (b)  110^{\circ} (c)  220^{\circ} (d)  125^{\circ}

(vii) In the figure O is the centre of the circle then the angle x is:(a) 55^{\circ} (b) 110^{\circ} (c) 220^{\circ} (d) 125^{\circ}

Example 2: A B C D is a rilateral circumscribed about a circle.Show that m \overline{A B}+m \overline{C D}=m \overline{B C}+m \overline{D A}
Example 2:  A B C D  is a rilateral circumscribed about a circle.Show that  m \overline{A B}+m \overline{C D}=m \overline{B C}+m \overline{D A}

Example 2: A B C D is a rilateral circumscribed about a circle.Show that m \overline{A B}+m \overline{C D}=m \overline{B C}+m \overline{D A}

2 . Show that parallelogram inscribed in a circle will be a rectangle.
 2 .  Show that parallelogram inscribed in a circle will be a rectangle.

2 . Show that parallelogram inscribed in a circle will be a rectangle.

(v) Given that O is the centre of the circle the angle marked y will be:(a) 12 \frac{1}{2}^{\circ} (b) 25^{\circ} (c) 50^{\circ} (d) 75^{\circ}
(v) Given that  O  is the centre of the circle the angle marked  y  will be:(a)  12 \frac{1}{2}^{\circ} (b)  25^{\circ} (c)  50^{\circ} (d)  75^{\circ}

(v) Given that O is the centre of the circle the angle marked y will be:(a) 12 \frac{1}{2}^{\circ} (b) 25^{\circ} (c) 50^{\circ} (d) 75^{\circ}

MDCAT/ ECAT question bank