Geometry Questions and answer Practice Question and Answer

Q:

If the circumcenter of the triangle lies outside it, then the triangle is 

1343 0

  • 1
    Right angled
    Correct
    Wrong
  • 2
    Obtuse angle
    Correct
    Wrong
  • 3
    Equilateral
    Correct
    Wrong
  • 4
    Acute angled
    Correct
    Wrong
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Answer : 2. "Obtuse angle"

Q:

In ΔABC, ∠C=90° and CD is perpendicular to AB at D. If AD/BD=$$ {\sqrt{k}}$$, then AC/BC=?

1338 0

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

Q:

In the given figure, ∠QRU = 72°, ∠TRS = 15° and ∠PSR = 95°, then what is the value (in degrees) of ∠PQR ?

1335 0

  • 1
    40
    Correct
    Wrong
  • 2
    85
    Correct
    Wrong
  • 3
    55
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 2. "85"

Q:

5√2 cm in a circle. If the long chord makes a right angle at the centre, then what will be the length of the radius of the circle?

1330 0

  • 1
    2.5 cm
    Correct
    Wrong
  • 2
    5 cm
    Correct
    Wrong
  • 3
    7.5 cm
    Correct
    Wrong
  • 4
    10 cm
    Correct
    Wrong
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Answer : 2. "5 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?

1329 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:

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?

1327 0

  • 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:

In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

1324 0

  • 1
    75°
    Correct
    Wrong
  • 2
    81°
    Correct
    Wrong
  • 3
    84°
    Correct
    Wrong
  • 4
    78°
    Correct
    Wrong
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Answer : 4. "78°"

Q:

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

1320 0

  • 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. "$$ {5\over{\sqrt{3}}}$$"

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