In a circle, a chord 5√2 cm long, makes a right angle at

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 Multiple Choice QuestionsMultiple Choice Questions

31.

Number of circles that can be drawn through the non-collinear points is:

  • exactly one

  • two

  • three

  • three

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32.

Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

  • 7.5 cm

  • 9 cm

  • 8 cm

  • 10 cm

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33.

In a circle, a chord 5√2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be

  • 2.5 cm

  • 5 cm

  • 7.5 cm

  • 10 cm


B.

5 cm



AB = 5√2 cm (Chord of a circle)

OA = OB = r =  (radius of a circle)

Now,
In Δ OAB,


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34.

The length of the chord which is at distance of 12 cm from the centre of a circle of radius 13 cm is

  • 10 cm

  • 5 cm

  • 6 cm

  • 12 cm

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35.

Points P, Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60°. Then the subtended angle by arc QR at the centre is:

  • 80°

  • 120°

  • 140°

  • 160°

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36.

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

  • 3 cm

  • 4 cm

  • 5.5 cm

  • 3.5 cm

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37.

AB is the diameter of a circle with centre O and P be a point on its circumference. If ∠POA = 120°, then the value of ∠PBO is

  • 30°

  • 60°

  • 50°

  • 40°

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38.

O is the centre of the circle and angle AOB space equals space 150 degree and the shaded portion is x part of the circular region, then x = ?

  • 1/12

  • 1/9

  • 1/6

  • 1/4

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39.

The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is

  • 2 cm

  • 3 cm

  • 4 cm

  • 15 cm

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40.

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is:

  • 1

  • straight pi over 2

  • straight pi over 3

  • straight pi over 4

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