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Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 8 TestUNIT 8: CHORDS AND ARCS OF A CIRCLE

30 marks · 40 minutes · 21 questions. Covers: UNIT 8: CHORDS AND ARCS OF A CIRCLE.

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10th Class Mathematics Chapter 8 Test

10th Class · Mathematics · Punjab (PTB)

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

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

  1. Distance of a point on the circumference to the centre of the circle is called:

    1. Radius

    2. Arc

    3. Chord

    4. Tangent

  2. Perpendicular from the centre of a circle on a chord ...... it:

    1. Bisect

    2. equal

    3. Greater

    4. Less

  3. If two circles have three points is common, what can be concluded about them?

    1. They are concentric

    2. They are tangent

    3. They coincide

    4. They are non-collinear

  4. Any part of a circumference is called:

    1. Chord

    2. Diameter

    3. Radius

    4. Arc

  5. An arc whose central angle measure greater than  is called:

    1. Major arc

    2. Minor arc

    3. Semi-circle

    4. Segemt

  6. If an arc is smaller than a semi-circle, it is called:

    1. Major arc

    2. Minor arc

    3. Sector

    4. Radius

  7. What is called a figure bounder by a diameter and cirumference cut by the diameter?Arc

    1. Arc

    2. Major arc

    3. Semi-circle

    4. Radius

  8. Radii of same circles are:

    1. All unequal

    2. All equal

    3. Half of each chord

    4. Double of the diameter

  9. In the given figure, major arc is:

  10. Which is the mathematical formula for circumference (c) of a circle?

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

  1. In the given, find the value of x.

  2. In the given figure  units and  units. Find the value of x.

  3. Define a semi circle.

  4. What is the sum of all the central angles of a circle?

  5. Define a major arc.

  6. A chord 6 cm long is at a distance of 4 cm from the centre. Calculate the radius of the circle.

  7. In a circle, chords AB and CD both have length 10 cm. If the distance from the centre to  is 6cm, What is the distance from centre to .

  8. Chord AB of 24 m is across a circular arch of radius 13 m. Fnd the height of the chord from the centre.

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

  1. Find the values of x and y in the given figure, such that .

  2. In the given figure, find the values of x and y.

  3. On a circular clock with a radius of 6cm. the points from 2 to 10 form a chord that is 10cm long. Find the perpendicular distance from the centre of clock to the chord.