10th Class Mathematics Chapter 11 Test11. Practical Geometry of Circles

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. Direct common tangents of equal circles are:
   1. parallel
   2. intersecting
   3. converging
   4. not parallel
2. Angle between tangent and radial segment of a circle is:
   1. 30°
   2. 45°
   3. 60°
   4. 90°
3. Centres and point of contact of two touching circles are:
   1. collinear
   2. non-collinear
   3. coincident
   4. none of these
4. In which type of triangle, incentre and circumcentre are coincident?
   1. scalene
   2. isosceles
   3. equilateral
   4. right triangle
5. Two tangents are drawn at the ends of diameter of a circle of radius 3.5 cm. The distance between tangents is:
   1. 3.5 cm
   2. 7 cm
   3. 5 cm
   4. 10.5 cm
6. Perpendicular bisectors of ……… always pass through centre of circle.
   1. two secants
   2. secants
   3. radial segments
   4. chords
7. Transverse common tangents intersect each other at:
   1. 1 point
   2. 2 points
   3. 3 points
   4. 4 points
8. A square is inscribed in a circle of radius 5 cm. What is the length of diagonal of the square?
   1. 2.5 cm
   2. 5 cm
   3. 10 cm
   4. 20 cm
9. Two circles with radii 4 cm and 4.8 cm respectively, touch internally. The distance between centres of the circles is:
   1. 4 cm
   2. 8 cm
   3. 8.8 cm
   4. 0.8 cm
10. Two circles having radii 3 cm and 3.2 cm respectively, touch externally. The distance between centres of the circles is:
    1. 6 cm
    2. 0.2 cm
    3. 6.2 cm
    4. 5.3 cm