Class 9 Quiz Level 3 (Difficult) – Circles Leave a Comment / By Gulam Hamza / September 14, 2024 Class 9 Quiz Level 3 (Difficult) – Circles Total questions: 10 1. Two congurent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P,Q lie on the two circles. Which of the option a correct? Topic: Intersecting Circles and Chords Deselect Answer ∠QPB=∠PBQ ∠QPB=∠PQB ∠QPC=∠PQB None of these None 2. In the given figure, O is the centre of the circle and ΔABC is equilateral. Find ∠BDC and ∠BEC Topic: Angles in an Equilateral Triangle and Circle Deselect Answer ∠BDC = 140°, ∠BEC=140° ∠BDC = 160°, ∠BEC=130° ∠BDC = 120°, ∠BEC=120° ∠BDC = 60°, ∠BEC=120° None 3. In the given figure, ABCD is a cyclic quadrilateral in which ∠CAD=25°,∠ABC= 50° and ∠ACB=35°. Then: (i) ∠CBD (ii) ∠DAB (iii) ∠ADB are respectively? Topic: Angles in a Cyclic Quadrilateral Deselect Answer (i) ∠CBD=105° (ii) ∠DAB=100° (iii) ∠ADB=455° (i) ∠CBD=65° (ii) ∠DAB=90° (iii) ∠ADB=85° (i) ∠CBD=25° (ii) ∠DAB=70° (iii) ∠ADB=35° (i) ∠CBD=38° (ii) ∠DAB=90° (iii) ∠ADB=85° None 4. In the given figure, AB is a diameter of a circle with centre O. If ADE and CBE are straight lines, meeting a E such that ∠BAD=35° and ∠BED=25°, find (i) ∠DCB (ii) ∠DBC (iii) ∠BDC. Topic: Angles in a Circle Deselect Answer 36°, 16° and 60° 37°, 65° and 37° 25°, 55° and 30° 35°, 115° and 30° None 5. In the adjoining figure, AB=AC=CD,∠ADC=35° Then (i) ∠ABC, (ii) ∠BEC are respectively: Topic: Angles in an Isosceles Triangle and Circle/p> Deselect Answer 70° and 70°. 80° and 60°. 10° and 50°. 70° and 40°. None 6. 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 Deselect Answer 50 cm 20 cm 10 cm None of the above None 7. 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 Deselect Answer ∠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 8. 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 Deselect Answer Arc PXA ≅ Arc PYB Arc NXA ≅ Arc MYB Arc BXA ≅ Arc YPB None of these None 9. 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 Deselect Answer OAC = ∠OAB OCB = ∠OBC OAB = ∠OAC AOB = ∠BAO None 10. 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 Deselect Answer 6 cm 5 cm 7 cm 8 cm None 1 out of 10 Time's up
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