Geometry Questions and answer Practice Question and Answer

Q:

In a triangle ΔABC, the sides DE parallel to BC and AD = 6 cm, DB = 9 cm, AE = 8 cm, find the value of AC.

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  • 1
    8 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    20 cm
    Correct
    Wrong
  • 4
    6 cm
    Correct
    Wrong
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Answer : 3. "20 cm"

Q:

PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?

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  • 1
    10
    Correct
    Wrong
  • 2
    $$ {5\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 3
    $$ {10\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 4
    $$ {10{\sqrt{3}}}$$
    Correct
    Wrong
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Answer : 2. "$$ {5\over{\sqrt{3}}}$$"

Q:

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles.  The number of sides of the polygon is

1467 0

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

Q:

In △PQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of RQ2/(QS2+ RT2)?

1465 0

  • 1
    $$3\over 4$$
    Correct
    Wrong
  • 2
    $$4\over 5$$
    Correct
    Wrong
  • 3
    $$1\over 2$$
    Correct
    Wrong
  • 4
    $$2\over 3$$
    Correct
    Wrong
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Answer : 2. "$$4\over 5$$"

Q:

ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ΔABC= x cm2, then what is the area (in cm2) of ΔDBC?

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  • 1
    $${ab\over 2}{x}$$
    Correct
    Wrong
  • 2
    $${a\over b}{x}$$
    Correct
    Wrong
  • 3
    $${b\over a}{x}$$
    Correct
    Wrong
  • 4
    $${a+b\over2}{x}$$
    Correct
    Wrong
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Answer : 3. "$${b\over a}{x}$$"

Q:

Find the distance travelled by a 40 cm diameter wheel to cover a distance of 176 meters? Using (π=22/7)

1465 0

  • 1
    140
    Correct
    Wrong
  • 2
    150
    Correct
    Wrong
  • 3
    160
    Correct
    Wrong
  • 4
    166
    Correct
    Wrong
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Answer : 1. "140"

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 

1460 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 "

Q:

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

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  • 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. "$$ {a^{2}=b^{2}+bc}$$"

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