Class 9 Practice – Level 3 – Set 2 – Circles Leave a Comment / By Gulam Hamza / September 14, 2024 Class 9 Practice – Level 3 – Set 2 – Circles Total questions: 15 1. In the given figure, I is the incentre of △ABC. AI produced meets the circumcircle of △ABC at D;∠ABC=55° and ∠ACB=65°.Find (i) ∠BCD (ii) ∠CBD (iii) ∠DCI (iv) ∠BIC. Topic: Incenter and Circumcircle in a Triangle ∠CBD=90°, ∠DCI=30°, ∠BIC=92.5°, ∠BCD120° ∠DCI=80°, ∠BIC=90°, ∠CBD=62.5°, ∠BCD=120° ∠BCD=30°, ∠CBD=30°,∠DCI=62.5°, ∠BIC=120° None of these None 2. In the given figure, AB is a diameter of the circle with centre O, AC and BD produced meet at E and ∠COD=40°. Calculate ∠CED. Topic: Angles in a Circle ∠CED = 50° ∠CED = 70° ∠CED = 60° ∠CED = 90° None 3. In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Choose the correct option? Topic: Chords and Their Properties in Circles OAC = ∠OAB OCB = ∠OBC OAB = ∠OAC AOB = ∠BAO None 4. In the given figure, if ∠ABC = 20° , then ∠AOC is equal to Topic: Angles in a Circle 20° 80° 50° 40° None 5. A chord of length 30 cm is drawn in a circle of radius 17 cm. Find its distance from the centre off the circle. Topic: Chords and Their Properties in Circles 6 cm 5 cm 7 cm 8 cm None 6. In the given figure, O is the centre of the circle and ∠AOC=160°. Find 3 ∠𝑦 − 2 ∠𝑥. Topic: Central Angles 120° 110° 170° 140° None 7. ABCD is a cyclic quadrilateral AE is drawn parallel to CD and BA is produced. If ∠ABC=92° and ∠FAE=20°, then ∠BCD= Topic: Cyclic Quadrilateral Angles 108° 88° 115° 72° None 8. If chords of congruent circles subtend equal angles at their centres, then which of the following statement is correct? Topic: Congruence of Circles AB = CD AC = BD CB = CA None of these None 9. In the given figure, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to: Topic: Angles in a Circle 70° 50° 60° 80° None 10. O is the centre of the circle. AB and CD are two chords of the circle. OM⊥AB and ON⊥CD. If OM=ON=2 cm and AM=BM=4.5 cm, then CD is equal to Topic: Chords and Their Properties in Circles 8 cm 9 cm 10 cm 15 cm None 11. In the given figure, AB∣∣DC and ∠BAD=100. Calculate ∠ABC. Topic: Angles in a Circle 120° 80° 100° 110° None 12. If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is : Topic: Circle and Triangle Properties 50 cm 20 cm 10 cm None of the above None 13. In the figure, ∠BAD=70°,∠ABD=56° and ∠ADC=72°. Calculate (i) ∠BDC (ii) ∠BCD (iii) ∠CBD. Topic: Angles in a Cyclic Quadrilateral ∠BCD=18°, ∠BCA=110°, ∠BCD=55° ∠BDC=18°, ∠BCD=110°, ∠CBD= 52° ∠CDB=52°,∠CDB= 62°, ∠CBD= 52° None of these None 14. O is the centre of the circle having radius 5 cm. AB and AC are two chords such that AB=AC=6 cm. If OA meets BC at M, then OM is equal to Topic: Perpendicular from the Centre to a Chord 3.4 cm 3.6 cm 1.4 cm 1.8 cm None 15. If the perpendicular bisector of a chord AB of a circle PXAQBY intersect the circle at P and Q, prove that arc PXA ≅ arc PYB. Topic: Chords and Their Properties in Circles Arc PXA ≅ Arc PYB Arc NXA ≅ Arc MYB Arc BXA ≅ Arc YPB None of these None 1 out of 15 Time's up
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