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Circles Maths - Circles

Gujarat Board (GSEB) - STD 9 - Maths (GSEB - English Medium). 54 questions in this chapter.

Question types

Circles question types

54 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

54
Questions
6
Question groups
5
Question types
Sample Questions

Circles questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
Write the correct answer in the following:
In Fig. if $\angle\text{DAB} = 60^\circ, \angle\text{ABD} = 50^\circ,$ then $\angle\text{ACB}$ is equal to:

  1. 60°.
  2. 50°.
  3. 70°.
  4. 80°.
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Q 2M.C.Q1 Mark
Write the correct answer in the following:
In Fig. if AOB is a diameter of the circle and AC = BC, then $\angle\text{CAB}$ is equal to:

  1. 30°.
  2. 60°.
  3. 90°.
  4. 45°.
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Q 3M.C.Q1 Mark
Write the correct answer in the following:

In Fig. if $\angle\text{ABC}=20^\circ,$ then $\angle\text{AOC}$ is equal to:

  1. 20°
  2. 40°
  3. 60°
  4. 10°
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Q 4M.C.Q1 Mark
Write the correct answer in the following:
In Fig. if $\angle\text{OAB}=40^\circ,$ then $\angle\text{ACB}$ is equal to:

  1. 50°.
  2. 40°.
  3. 60°.
  4. 70°.
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Q 5M.C.Q1 Mark
Write the correct answer in the following:
In Fig. $\angle\text{AOB}=90^\circ$ and $\angle\text{ABC}=30^\circ,$ then $\angle\text{CAO}$ is equal to:

  1. 30°.
  2. 45°.
  3. 90°.
  4. 60°.
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Q 6True False[1 Marks ]1 Mark
Write True or False and justify your answer in the following:
ABCD is a cyclic quadrilateral such that $\angle\text{A}=90^\circ,\angle\text{B}=70^\circ,\angle\text{C}=95^\circ$ and $\angle\text{D}=105^\circ.$
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Q 8True False[1 Marks ]1 Mark
Write True or False and justify your answer in the following:
Two congruent circles with centres O and O′ intersect at two points A and B. Then $\angle\text{AOB}=\angle\text{AO'B}.$
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Q 9True False[1 Marks ]1 Mark
Write True or False and justify your answer in the following:
If A, B, C and D are four points such that $\angle\text{BAC}=45^\circ$ and $\angle\text{BDC}=45^\circ,$ then A, B, C, D are concyclic.
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Q 123 Marks Question3 Marks
If the perpendicular bisector of a chord AB of a circle PXAQBY intersects the circle at P and Q, prove that arc $\text{PXA}\cong\text{Arc PYB}.$
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Q 133 Marks Question3 Marks
Two chords AB and AC of a circle subtends angles equal to 90° and 150°, respectively at the centre. Find $\angle\text{BAC},$ if AB and AC lie on the opposite sides of the centre.
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Q 153 Marks Question3 Marks
In Fig. AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of $\angle\text{ACD} + \angle\text{BED.}$

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