Geometry Practice Question and Answer

Q:

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

1174 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:

Find the area of the circle formed in an equilateral triangle of side 42 cm. Using (π=22/7)

1173 0

  • 1
    $$ 231 \ cm^{2}$$
    Correct
    Wrong
  • 2
    $$ 462 \ cm^{2}$$
    Correct
    Wrong
  • 3
    $$ {22 \sqrt{3}}\ cm^{2}$$
    Correct
    Wrong
  • 4
    $$ 924 \ cm^{2}$$
    Correct
    Wrong
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Answer : 2. " $$ 462 \ cm^{2}$$"

Q:

PQRS is square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

1172 0

  • 1
    $$ {40{\sqrt{2}}}$$
    Correct
    Wrong
  • 2
    $$ {40{\sqrt{2}}}+ 40 $$
    Correct
    Wrong
  • 3
    $$ {40{\sqrt{2}}}+ 80 $$
    Correct
    Wrong
  • 4
    $$ {80{\sqrt{2}}}+ 80 $$
    Correct
    Wrong
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Answer : 4. "$$ {80{\sqrt{2}}}+ 80 $$"

Q:

Two circles having radii 5 units intersect each other in such a way that each of them passes through the centre of the other. Then the length of their common chord is

1172 0

  • 1
    $$\sqrt{45}$$
    Correct
    Wrong
  • 2
    $$\sqrt{55}$$
    Correct
    Wrong
  • 3
    $$\sqrt{35}$$
    Correct
    Wrong
  • 4
    $$\sqrt{75}$$
    Correct
    Wrong
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Answer : 4. "$$\sqrt{75}$$"

Q:

In an isosceles triangles ABC, AB=AC the median drawn on the same arms are perpendicular to each other find AB/BC?

1167 0

  • 1
    $${\sqrt{5\over{2}}}$$
    Correct
    Wrong
  • 2
    $${5\over2}$$
    Correct
    Wrong
  • 3
    $${2\over5}$$
    Correct
    Wrong
  • 4
    $${5\over {\sqrt {3}}}$$
    Correct
    Wrong
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Answer : 1. "$${\sqrt{5\over{2}}}$$"

Q:

In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

1159 0

  • 1
    90°
    Correct
    Wrong
  • 2
    60°
    Correct
    Wrong
  • 3
    45°
    Correct
    Wrong
  • 4
    55°
    Correct
    Wrong
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Answer : 2. "60°"

Q:

What is the area (in cm²) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

1156 0

  • 1
    2200/7
    Correct
    Wrong
  • 2
    550/7
    Correct
    Wrong
  • 3
    275/7
    Correct
    Wrong
  • 4
    400/7
    Correct
    Wrong
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Answer : 2. "550/7"

Q:

ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point of Q, intersects AB at P. Then AP : AB is : 

1153 0

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

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