Geometry Practice Question and Answer

Q:

In the figure below, find the value of AB.

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  • 1
    $$ {\sqrt{ 120}}$$
    Correct
    Wrong
  • 2
    $$ {\sqrt{ 112}}$$
    Correct
    Wrong
  • 3
    $$ {\sqrt{ 140}}$$
    Correct
    Wrong
  • 4
    $$ {\sqrt{ 129}}$$
    Correct
    Wrong
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Answer : 2. "$$ {\sqrt{ 112}}$$"

Q:

The length of a chord which is at a distance of 12 cm from the center of a circle of radius 13 cm is 

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

Q:

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then 

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  • 1
    PQ + QR = PQR + AB
    Correct
    Wrong
  • 2
    PQ + QR = PR + 2AB
    Correct
    Wrong
  • 3
    PQR must be a right angled
    Correct
    Wrong
  • 4
    PQR must be an equilateral triangle
    Correct
    Wrong
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Answer : 4. "PQR must be an equilateral triangle "

Q:

The radius of a circle is 14 cm. what is area of another circle having radius 1.5 times the actual circle?

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  • 1
    $$ {1296{\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {1386 {\ cm^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {1352 {\ cm^{2}}}$$
    Correct
    Wrong
  • 4
    $$ {1485 {\ cm^{2}}}$$
    Correct
    Wrong
  • 5
    $$ {1276 {\ cm^{2}}}$$
    Correct
    Wrong
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Answer : 4. "$$ {1485 {\ cm^{2}}}$$"

Q:

Two equal circles of radius 4 cm intersect each other such that each passes through the center of the other. The length of the common chord is

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  • 1
    2√3 cm
    Correct
    Wrong
  • 2
    4√3 cm
    Correct
    Wrong
  • 3
    2√2 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 2. "4√3 cm "

Q:

In a ∆ABC ∠A : ∠B : ∠C  = 2 : 3 : 4 . A line CD drawn || to AB, then the ∠ACD is: 

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  • 1
    80°
    Correct
    Wrong
  • 2
    20°
    Correct
    Wrong
  • 3
    40°
    Correct
    Wrong
  • 4
    60°
    Correct
    Wrong
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Answer : 3. "40° "

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

1372 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:

The number of sides in two regular polygons are in the ratio of 5 : 4. The difference between their Interior angles of the polygon is 6. Then the number of sides are 

1370 0

  • 1
    15, 12
    Correct
    Wrong
  • 2
    5, 4
    Correct
    Wrong
  • 3
    10, 8
    Correct
    Wrong
  • 4
    20, 16
    Correct
    Wrong
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Answer : 1. "15, 12 "

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