Geometry Practice Question and Answer

Q:

D, E, F are the mid - points of the sides BC, CA and AB respectively of a ΔABC. Then the ratio of the areas of DEF and ΔABC is D, E, F.

1404 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {1\over3}$$
    Correct
    Wrong
  • 3
    $$ {1\over4}$$
    Correct
    Wrong
  • 4
    $$ {1\over5}$$
    Correct
    Wrong
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Answer : 3. "$$ {1\over4}$$"

Q:

If the perimeter of an equilateral triangle is 18 cm, then length of each median is

1402 0

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

Q:

If two complementary angles are in the ratio of 2:3. find the ratio of square of smaller angle to square of greater?

1394 0

  • 1
    3:2
    Correct
    Wrong
  • 2
    9:11
    Correct
    Wrong
  • 3
    4:5
    Correct
    Wrong
  • 4
    4:9
    Correct
    Wrong
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Answer : 4. "4:9 "

Q:

The radius of the circumcircle of a right-angled triangle is 15 cm and the radius of its in circle is 6 cm. Find the sides of the triangle. 

1382 0

  • 1
    30 , 24 , 25
    Correct
    Wrong
  • 2
    24 , 36 , 20
    Correct
    Wrong
  • 3
    30 , 40 , 41
    Correct
    Wrong
  • 4
    18 , 24 , 30
    Correct
    Wrong
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Answer : 4. "18 , 24 , 30 "

Q:

A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm.2) in the total surface area?

1369 1

  • 1
    $$88 cm.^2$$
    Correct
    Wrong
  • 2
    $$77 cm.^2$$
    Correct
    Wrong
  • 3
    $$56 cm.^2$$
    Correct
    Wrong
  • 4
    $$66 cm.^2$$
    Correct
    Wrong
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Answer : 2. "$$77 cm.^2$$ "

Q:

The centroid of a ∆ABC is G. The area of ∆ABC is 60 cm². The area of ∆GBC is

1356 0

  • 1
    30 cm²
    Correct
    Wrong
  • 2
    40 cm²
    Correct
    Wrong
  • 3
    10 cm²
    Correct
    Wrong
  • 4
    20 cm²
    Correct
    Wrong
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Answer : 4. "20 cm²"

Q:

If the sum of the interior angles of a regular polygon be 1080 °, the number of sides of the polygon is 

1345 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 2. "8 "

Q:

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that 

1343 0

  • 1
    AP . BP = CP . DP
    Correct
    Wrong
  • 2
    AP . CD = AB . CP
    Correct
    Wrong
  • 3
    BP . AB = CD . CP
    Correct
    Wrong
  • 4
    AP . CP = BP . DP
    Correct
    Wrong
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Answer : 4. "AP . CP = BP . DP "

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