Important Questions of Geometry - Circles Quantitative Aptitude | Zigya

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11.

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

  • 50°

  • 60°

  • 80°

  • 80°

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12.

The radii of two concentric circles are 17cm and 25 cm. A straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 16cm, then the length (in cm.) of PS is

  • 41

  • 32

  • 33

  • 33

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13.

A is the centre of a circle whose radius is 8 and B is the centre of a circle whose diameter is 8. If these two two circles touch externally, then the area of the circle with diameter AB is

  • 36 straight pi
  • 64 straight pi
  • 144 straight pi
  • 144 straight pi
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14.

Two chords of lengths a metre and b metre subtend angles 60° and 90° at the centre of the circle respectively, which of the following is true?

  • a = √2 b

  • b = √2 a

  • a = 2b

  • b = 2a

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15.

Two chords AB and CD of a circle with centre O. Intersect each other at P. If ∠AOD = 100° and ∠BOC = 70°, then the value of ∠APC is

  • 80°

  • 75°

  • 85°

  • 85°

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16.

If two concentric circles are of radii 5cm and 3cm, then the length of the chord of the larger circle which touches the smaller circle is

  • 6 cm

  • 7 cm

  • 10 cm

  • 10 cm

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17.

Let C be a point on a straight line AB. Circles are drawn with diameters AC and AB. Let P be any point on the circumference of the circle with diameter AB. If AP meets the other circle at Q, then

  • QC || PB

  • QC is never parallel to PB

  • QC space equals space 1 half PB
  • QC space equals space 1 half PB
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18.

IF I is the incentre of ΔABC and angle BIC space equals space 135 degree, then ΔABC is 

  • acute angled

  • equilateral

  • right angled

  • right angled

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19.

If the length of a chord of a circle at a distance of 12cm from the centre is 10 cm, then the diameter of the circle is

  • 13 cm

  • 15 cm

  • 26 cm

  • 26 cm

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20.

If O is the circumcentre of ΔABC and angle OBC space equals space 35 degree, then the angle BAC is equal to

  • 55°

  • 110°

  • 70°

  • 70°

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