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Federal (FBISE) · Chapter test · Free

10th Class Mathematics Chapter 10 Test10. Tangents and Angles of a Circle

30 marks · 40 minutes · 21 questions. Covers: 10. Tangents and Angles of a Circle.

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10th Class Mathematics Chapter 10 Test

10th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

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

  1. Angle subtended by an arc at centre of circle is called ………… angle.
    1. reflex
    2. inscribed
    3. straight
    4. central
  2. Given that radius of a circle is 4 cm. The distance between two tangents drawn at the outer ends of diameter is:
    1. 2 cm
    2. 4 cm
    3. 6 cm
    4. 8 cm
  3. If two tangents are drawn on both ends of diameter of a circle, they are:
    1. perpendicular
    2. parallel
    3. intersecting
    4. none
  4. Central angle of major arc of a circle is:
    1. less than 90°
    2. less than 180°
    3. greater than 180°
    4. greater than 90°
  5. If ABCD is a cyclic quadrilateral and ∠A = 60°, then ∠C = ………
    1. 180°
    2. 120°
    3. 150°
    4. 60°
  6. Central angle of minor arc of a circle is:
    1. less than 360°
    2. less than 180°
    3. greater than 360°
    4. greater than 180°
  7. A tangent line is ………… to radial segment.
    1. parallel
    2. equal
    3. perpendicular
    4. similar
  8. An exterior angle of a cyclic quadrilateral is ……… the opposite interior angle.
    1. greater than
    2. less than
    3. equal to
    4. supplement of
  9. If two circles of radii 1.4 cm and 2.5 cm touch internally, the distance between their centres is equal to:
    1. 1.4 cm
    2. 2.5 cm
    3. 1.1 cm
    4. 3.9 cm
  10. Inscribed angle of a quadrant of a circle is:
    1. 45°
    2. 90°
    3. 145°
    4. 130°

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Find the values of unknown in the figure.Question diagram
  2. Find the values of unknown in the figure.Question diagram
  3. Find the values of unknown in the figure.Question diagram
  4. Find the values of unknown in the figure.Question diagram
  5. In the figure,AB→\overrightarrow {AB} is tangent to the circle of centre P. (1) Express the length AP in terms of r. (2) What is measure of ∠ABP? and why? (3) What is the radius of the circle?Question diagram
  6. Find the values of unknown in the figure.Question diagram
  7. Find the values of unknown in the figure.Question diagram
  8. Find the values of unknown in the figure.Question diagram

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. In the figure, AOB is equilateral triangle. Find the measures of ∠O and ∠C.Question diagram
  2. In the adjoining figure, ∠PEF = 20⁰. H is mid-point of FG‾\overline{FG}. Find ∠PGH.Question diagram
  3. A circular wall clock of radius 1 ft is hung by a 4 feet long string with a nail at P. (1) Find distance between centre of clock and nail. (2) How far above the clock is the nail?Question diagram