Geometry Practice Question and Answer

Q:

 In the given figure, BO and CO are the bisector of ∠CBD and ∠BCE respectively ∠A=40°, then ∠BOC is equal to:

1128 0

  • 1
    60°
    Correct
    Wrong
  • 2
    65°
    Correct
    Wrong
  • 3
    75°
    Correct
    Wrong
  • 4
    70°
    Correct
    Wrong
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Answer : 4. "70°"
Explanation :

$$∠BOC =90°-{∠A\over2}$$

Q:

Two circle X and Y with centres A and B intersect at C and D. If area of circle X is 4 time area of circle Y, then AB=?

1126 0

  • 1
    5r
    Correct
    Wrong
  • 2
    $${\sqrt{5}r}$$
    Correct
    Wrong
  • 3
    3r
    Correct
    Wrong
  • 4
    $$ {\sqrt{5}\over 2}r$$
    Correct
    Wrong
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Answer : 2. "$${\sqrt{5}r}$$"

Q:

Inside a square PQRS, ΔQTR is an equilateral triangle. If RT and QS intersect at O, then ∠QOR is equal to-

1121 0

  • 1
    50°
    Correct
    Wrong
  • 2
    75°
    Correct
    Wrong
  • 3
    60°
    Correct
    Wrong
  • 4
    90°
    Correct
    Wrong
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Answer : 2. "75°"

Q:

What is the measure of the circum radius of a triangle whose sides are 9cm, 40cm and 41cm?

1115 0

  • 1
    6 cm
    Correct
    Wrong
  • 2
    4 cm
    Correct
    Wrong
  • 3
    20.5 cm
    Correct
    Wrong
  • 4
    24.5 cm
    Correct
    Wrong
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Answer : 3. "20.5 cm"

Q:

D and E are midpoints of side AB and AC respectively of the ΔABC. A line drawn from A meets BC at H and DE at K. AK : KH = ?

1110 0

  • 1
    1 : 1
    Correct
    Wrong
  • 2
    1: 2
    Correct
    Wrong
  • 3
    2 : 1
    Correct
    Wrong
  • 4
    3 : 2
    Correct
    Wrong
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Answer : 1. "1 : 1 "

Q:

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC + XY = 12 units, then BC – XY is:

1107 0

  • 1
    10 units
    Correct
    Wrong
  • 2
    8 units
    Correct
    Wrong
  • 3
    6 units
    Correct
    Wrong
  • 4
    4 units
    Correct
    Wrong
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Answer : 4. "4 units"

Q:

The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is 

1103 0

  • 1
    4 cm
    Correct
    Wrong
  • 2
    9 cm
    Correct
    Wrong
  • 3
    12 cm
    Correct
    Wrong
  • 4
    $${9\over2} $$ cm
    Correct
    Wrong
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Answer : 2. "9 cm"

Q:

Δ ABC is a right angled triangle whose angle A is right angled. Which side needs to bisect to form two other right angled triangles?

1099 0

  • 1
    AB
    Correct
    Wrong
  • 2
    BC
    Correct
    Wrong
  • 3
    AC
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "BC"

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