CBSE Class 9 Circles MCQ By Clarify Knowledge
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CBSE Class 9 Circles MCQ Table
Question 1.
The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is
(a) 11.5 cm
(b) 12 cm
(c) 69−−√ cm
(d) 23 cmAnswer
Question 2.
A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is
(a) 25 cm
(b) 12.5 cm
(c) 30 cm
(d) 9 cmAnswer
Question 3.
In the given figure, BOC is a diameter of a circle and AB = AC. Then, ∠ABC =
(a) 30°
(b) 45°
(c) 60°
(d) 90°Answer
Question 4.
In the given figure, O is the centre of a circle. If ∠OAB = 40° and C is a point on the circle, then ∠ACB =
(a) 40°
(b) 50°
(c) 80°
(d) 100°Answer
Question 5.
AB and CD are two equal chords of a circle with centre O such that ∠AOB = 80°, then ∠COD =
(a) 100°
(b) 80°
(c) 120°
(d) 40°Answer
Question 6.
In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD and AB = 10 cm, then CD =
(a) 5 cm
(b) 12.5 cm
(c) 15 cm
(d) 10 cmAnswer
Question 7.
In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle in D. If ∠ACD = 25°, then ∠AOD =
(a) 50°
(b) 75°
(c) 90°
(d) 100°Answer
Question 8.
In the given figure, AB is a chord of a circle with centre O and BOC is a diameter. If OD ⊥ AB such that OD = 6 cm, then AC =
(a) 9 cm
(b) 12 cm
(c) 15 cm
(d) 7.5 cmAnswer
Question 9.
An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is
(a) 3 cm
(b) 3√2 cm
(c) 3√3 cm
(d) 6 cmAnswer
Question 10.
In the given figure, ΔABC and ΔDBC are inscribed in a circle such that ∠BAC = 60° and ∠DBC = 50°. then, ∠BCD =
(a) 50°
(b) 60°
(c) 70°
(d) 80°Answer
Question 11.
In the given figure, O is the centre of a circle. If ∠AOB = =100° and ∠AOC = 90°, then ∠BAC =
(a) 85°
(b) 80°
(c) 90°
(d) 75°Answer
Question 12.
In the given figure, O is the centre of a circle and ∠AOC = 120°. Then, ∠BDC =
(a) 60°
(b) 45°
(c) 30°
(d) 15°Answer
Question 13.
In the given figure, O is the centre of a circle in which ∠OAB = 20° and ∠OCB = 50°. Then, ∠AOC =
(a) 50°
(b) 70°
(c) 20°
(d) 60°Answer
Question 14.
In the given figure, O is the centre of a circle in which ∠AOC = 100° side AB of quadrilateral OABC has been produced to D. Then, ∠CBD =
(а) 50°
(b) 40°
(c) 25°
(d) 80°Answer
Question 15.
In the given figure, O is the centre of a circle and ∠OAB = 50°. Then, ∠BOD =
(а) 130°
(b) 50°
(c) 100°
(d) 80°Answer
Question 16.
In the given figure, ABCD is the cyclic quadrilateral in which BC = CD and ∠CBD = 35°. Then, ∠BAD =
(а) 65°
(b) 70°
(c) 110°
(d) 90°Answer
Question 17.
In figure, ΔABC is an equilateral triangle and ABDC is a quadrilateral then ∠BDC =
(а) 90°
(b) 60°
(c) 120°
(d) 150°Answer
Question 18.
In figure, sides AB and AD of a quadrilateral ABCD are produced to E and F respectively. If ∠CBE = 100°, then find ∠CDF.
(a) 100°
(b) 80°
(c) 130°
(d) 90°Answer
Question 19.
In figure, O is the centre of a circle and ∠AOB = 140°, then ∠ACB =
(a) 70°
(b) 80°
(c) 110°
(d) 40°Answer
Question 20.
In figure, O is the centre of a circle and ∠AOB = 130°, then ∠ACB =
(a) 50°
(b) 65°
(c) 115°
(d) 155°