Geometry Questions and answer Practice Question and Answer

Q:

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC=55° then value of ∠ABC is

813 0

  • 1
    55°
    Correct
    Wrong
  • 2
    35°
    Correct
    Wrong
  • 3
    145°
    Correct
    Wrong
  • 4
    125°
    Correct
    Wrong
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Answer : 3. "145°"

Q:

If the area of a circle, inscribed in a equilateral triangle is 4 π cm2, then what is the area of the triangle?

753 0

  • 1
    $$ {12\sqrt{3}\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {9\sqrt{3}\ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {8\sqrt{3}\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {18\ cm^{2}}$$
    Correct
    Wrong
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Answer : 1. "$$ {12\sqrt{3}\ cm^{2}}$$ "

Q:

∆ABC is a right angle triangle BD⊥AC. If AD = 12 cm and DC = 8, then BD = ?

717 0

  • 1
    $$ {5\sqrt {6}}$$
    Correct
    Wrong
  • 2
    $$ {4\sqrt {6}}$$
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 2. "$$ {4\sqrt {6}}$$"

Q:

Line 2x + y = 3 and 3x - 2y = 1 meets X-axis at two two points. Find the distance between these points.

1164 0

  • 1
    √5/3 units
    Correct
    Wrong
  • 2
    2 / 3 units
    Correct
    Wrong
  • 3
    1 units
    Correct
    Wrong
  • 4
    2 units
    Correct
    Wrong
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Answer : 3. "1 units "

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 -

775 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:

In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?

691 0

  • 1
    $$ {10\over 3}{cm}$$
    Correct
    Wrong
  • 2
    $$ {5\sqrt{13}\over 6}{ \ cm}$$
    Correct
    Wrong
  • 3
    $$ {5\sqrt{13}\over 3}{ \ cm}$$
    Correct
    Wrong
  • 4
    $$ {20\over 3} {\ cm}$$
    Correct
    Wrong
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Answer : 3. "$$ {5\sqrt{13}\over 3}{ \ cm}$$"

Q:

ABCD is cyclic quadrilateral Sides AB and DC, when produced, meet at E, and sides BC and AD, When produced, meet at F. If ∠BFA=60° and ∠AED=30°, then the measure of ∠ABC is:

859 0

  • 1
    65°
    Correct
    Wrong
  • 2
    70°
    Correct
    Wrong
  • 3
    80°
    Correct
    Wrong
  • 4
    75°
    Correct
    Wrong
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Answer : 4. "75°"

Q:

'G' is centroid of ΔABC if AG = BC then find ∠BGC.

691 0

  • 1
    $$60^0$$
    Correct
    Wrong
  • 2
    $$120^0$$
    Correct
    Wrong
  • 3
    $$90^0$$
    Correct
    Wrong
  • 4
    $$30^0$$
    Correct
    Wrong
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Answer : 1. "$$60^0$$"

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