Geometry Questions and answer Practice Question and Answer

Q:

O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to

1106 0

  • 1
    90°
    Correct
    Wrong
  • 2
    70°
    Correct
    Wrong
  • 3
    80°
    Correct
    Wrong
  • 4
    110°
    Correct
    Wrong
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Answer : 2. "70°"

Q:

If the circumradius of an equilateral triangle ABC is 8 cm, then what is the height of the triangle?

1105 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    8 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

Q:

In ΔABC, AB=c cm, AC= b cm and CB=a cm, If  ∠A=2 ∠B, then which of the following is true?

1103 0

  • 1
    $$ {a^{2}=b^{2}-bc}$$
    Correct
    Wrong
  • 2
    $$ {a^{2}=b^{2}-ac}$$
    Correct
    Wrong
  • 3
    $$ {a^{2}=b^{2}+bc}$$
    Correct
    Wrong
  • 4
    $$ {a^{2}=b^{2}+ac}$$
    Correct
    Wrong
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Answer : 3. "$$ {a^{2}=b^{2}+bc}$$"

Q:

The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the rest two angles. What is the sum of the smallest and the second largest angles?

1102 0

  • 1
    80°
    Correct
    Wrong
  • 2
    60°
    Correct
    Wrong
  • 3
    100°
    Correct
    Wrong
  • 4
    90°
    Correct
    Wrong
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Answer : 4. " 90°"

Q:

X and Y are centres of circles of radius 9 cm. and 2 cm respectively XY=17 cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that - ∠xzy = 90o the value of r is -

1097 0

  • 1
    13 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    9 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 2. "6 cm"

Q:

Find the second diagonal of a rhombus when it’s first diagonal length is 12 cm and its side is 10 cm?

1094 0

  • 1
    24 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    18 cm
    Correct
    Wrong
  • 4
    22 cm
    Correct
    Wrong
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Answer : 2. "16 cm"

Q:

ΔABC is similar to ΔDEF. Length of AB is 18 cm and  length of the corresponding side  DE is 10 cm. What is the ratio  of Perimeter of ΔABC : Perimeter of ΔDEF?

1093 0

  • 1
    5:9
    Correct
    Wrong
  • 2
    81:25
    Correct
    Wrong
  • 3
    9:5
    Correct
    Wrong
  • 4
    25:81
    Correct
    Wrong
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Answer : 3. "9:5 "

Q:

P and Q are center of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the center of another circle of radius x cm, which touches each of the above two circles externally. If ∠PRQ = 90 °, then the value of x is 

1090 0

  • 1
    7 cm
    Correct
    Wrong
  • 2
    8 cm
    Correct
    Wrong
  • 3
    4 cm
    Correct
    Wrong
  • 4
    6 cm
    Correct
    Wrong
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Answer : 4. "6 cm "

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