1. C is a point on the minor arc AB of a circle with centre
| O. If ÐAOB = 100°, then what is ÐACB? | |
| (a) 80° (c) 100° | (b) 90° (d) 130° |
| 2. In a DABC, AB = AC. A circle through B touches AC at D and intersects AB at P. If D is the mid-point of AC, then | |
| which one of the following is correct? | |
| (a) AB = 2AP (c) AB = 4AP | (b) AB = 3AP (d) 2 AB = 5AP |
| 3. With A, B and C as centres, three circles are drawn such that they touch each other externally. If the sides of the DABC are 4 cm, 6 cm and 8 cm, then what is the sum of | |
| the radii of the circles? (a) 9 cm (c) 12 cm | |
| (b) 10 cm (d) 14 cm |
then which of the following is correct?
(a) C1 and C2 are concentric
(b) C1 anc C2 are the same circle
(c) C1 and C2 have different centres
(d) None of the above
5. What is the number of tangents that can be drawn to a
circle from a point on the circle?
(a) 0 (b) 1
(c) 2 (d) 3
| 6. ABCD is a quadrilateral, the sides of which touch a circle. | |
| Which one of the following is correct? |
(a) AB + AD = CB + CD
(b) AB : CD = AD : BC
(c) AB + CD = AD + BC
(d) AB : AD = CB : CD
7. The diameter of two circles are 18 cm and 8 cm. The
distance between their centres is 13 cm. What is the
number of common tangents?
(a) 1 (b) 2
(c) 3 (d) None of these
8. Let PAB be a secant to a circle intersecting at points A
and B and PC is a tangent. Which one of the following
is correct?
(a) The area of rectangle with PA, PB as sides is equal
to the area of square with PC as sides
(b) The area of rectangle with PA, PC as sides is equal
to the area of square with PB as sides
(c) The area of rectangular with PC, PB as sides is
equal to the area of square with PA as side
(d) The perimeter of rectangle with PA, PB as sides is
equal to the perimeter of square with PC as side
9. Two circles touch each other externally at P. Two secants
APB and CPD are drawn through P to meet the circle at
A, C and B, D respectively. Then, which one of the
following is correct?
(a) AC is perpendicular to BD
(b) AC intersects BD
(c) AC is parallel to BD
(d) None of the above
10. What is the locus of centres of circles which touch a
given line at a given point?
(a) A line perpendicular to the given line, passing
through the given point
(b) A line parallel to the given line
(c) A circle tangent to the given line at the given point
(d) A closed curve other than a circle