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Circles MATHS - Circles

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - 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 OA = 5cm, AB = 8cm and OD is perpendicular to AB, then CD is equal to:
  1. 2cm.
  2. 3cm.
  3. 4cm.
  4. 5cm.
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Q 2M.C.Q1 Mark
Write the correct answer in the following:
In Fig. BC is a diameter of the circle and $\angle\text{BAO}=60^\circ.$ Then $\angle\text{ADC}$ is equal to:
  1. 30°.
  2. 45°.
  3. 60°.
  4. 120°.
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Q 3M.C.Q1 Mark
Write the correct answer in the following:
AD is a diameter of a circle and AB is a chord. If AD = 34cm, AB = 30cm, the distance of AB from the centre of the circle is:
  1. 17cm.
  2. 15cm.
  3. 4cm.
  4. 8cm.
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Q 4M.C.Q1 Mark
Write the correct answer in the following:
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and $\angle\text{ADC}=140^\circ,$ then $\angle\text{BAC}$ is equal to:
  1. 80°.
  2. 50°.
  3. 40°.
  4. 30°.
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Q 5M.C.Q1 Mark
Write the correct answer in the following:
If AB = 12cm, BC = 16cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is:
  1. 6cm.
  2. 8cm.
  3. 10cm.
  4. 12cm.
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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 7True False[1 Marks ]1 Mark
Write True or False and justify your answer in the following: If $\text{AOB}$ is a diameter of a circle and $C$ is a point on the circle, then $AC^2 + BC^2 = AB^2.$
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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 10True 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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