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Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 10 TestUNIT 10: PRACTICAL GEOMETRY OF CIRCLES

28 marks · 40 minutes · 19 questions. Covers: UNIT 10: PRACTICAL GEOMETRY OF CIRCLES.

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10th Class Mathematics Chapter 10 Test

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 28Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 8 × 1 = 8)

  1. To draw a tangent at middle point of an arc, first step is to:

    1. Join endpoints of an arc

    2. Draw radius

    3. Draw a line perpendicular to chord

    4. Draw an angle

  2. Two equal tangents from a point to a circle can be drawn when the point is ...... the cirlce:

    1. On

    2. Inside

    3. Outside

    4. At centre of

  3. The angle between the radius and a tangent at the point of contact is:

  4. Tangents drawn from a single external point to a circle are:

    1. Unequal in length

    2. Perpendicular to each other

    3. Equal in length

    4. Inside the crcle

  5. Right bisector of the chord of a circle always passes through the:

    1. Diameter

    2. Non-collinear points

    3. Radius

    4. Centre

  6. A cricle has only one:

    1. Chord

    2. Centre

    3. Diameter

    4. Secant

  7. In the adjacent figure,  is:

    1. A chord

    2. An arc

    3. A tangent

    4. A secant

  8. The point where two tangents meet outside a circle forms:

    1. A semicircle

    2. A diameter

    3. A radius

    4. An angle

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

  1. Construct a circle with the help of given radius and verify its centre by construction: r = 1.5 cm.

  2. ABC an arc of a fountain, complete a circle without finding its centre.

  3. Draw a circle of radius 1.5cm and draw a tangent at point P, when P is at a distance of 8 cm from its centre.

  4. Draw tangent to  at point P, when P is endpoint of the arc.

  5. Draw a circle of radius 1.4 cm and draw a tangent at point P, when P lies on its circumference.

  6. Draw an arc ABC and complete a circle by finding its centre.

  7. Take any three non-collinear P,Q,R and construct a cricle passing through these points.

  8. Construct a circle with the help of given radius and verify its centre by construction: r=2cm.

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

  1. Draw a circle of radius 1.6 cm. Draw two tangents that meet an angle of .

  2. Draw a circle with radius 1.5 cm. Draw two tangents to this circle that meet an angle of .

  3. Draw a circle of radius 1.7 cm. Draw two tangents that meet an angle of .