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 Multiple Choice QuestionsMultiple Choice Questions

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1.

ABCD is a cyclic quadrilateral. Diagonals AC and BD meets at P. If angle APB space equals space 110 degree and angle CBD space equals space 30 degree, then angle ADB measures

  • 80 degree
  • 70 degree
  • 30 degree
  • 30 degree


A.

80 degree


angle BPC space equals space 180 degree minus 110 degree space equals space 70 degree space equals space angle APD space
space space space space space space space space space space space space space space space space space space space space space space space space because space space angle DBC space equals space angle CAD space equals space 30 degree
therefore space space space space angle ADB space equals space 180 degree minus left parenthesis 70 degree plus 30 degree right parenthesis space equals space 180 degree minus 100 degree space equals space 80 degree space space space
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2.

In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If angle PSR space equals space 130 degree, then the value of angle RPQ is

  • 40 degree
  • 45 degree
  • 35 degree
  • 35 degree
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3.

If ABCD is a cyclic parallelogram, then the angle straight A is

  • 60 degree
  • 80 degree
  • 90 degree
  • 90 degree
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4.

The length of the two parallel sides of a trapezium are 16m and 20 m respectively. If its height is 10 m, its area in square metres is:

  • 360

  • 260

  • 240

  • 240

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5.

Which of the following is not true for a rhombus?

  • All sides are congruent

  • Opposite sides are parallel

  • Diagonals are equal

  • Diagonals are equal

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6.

The length of the two adjacent sides of a rectangle inscribed in a circle are 5cm and 12 cm respectively. Then the radius of the circle will be

  • 6 cm

  • 6.5 cm

  • 8 cm

  • 8 cm

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7.

In a cyclic quadrilateral ABCD, angle BCD space equals space 120 degree and passes  through the centre of the circle. Then angle ABD space equals space ?

  • 30 degree
  • 40 degree
  • 50 degree
  • 50 degree
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8.

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are

  • 10 and 20

  • 4 and 8

  • 3 and 6

  • 3 and 6

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9.

The length of the diagonal of a rectangle with sides 4m and 3m would be

  • 12 m

  • 7 m

  • 5 m

  • 5 m

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10.

ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of AED is 

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