Geometry Practice Question and Answer

Q:

If the orthocenter and the centroid of a triangle are the same, then the triangle is:

391 0

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

Q:

What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?

390 0

  • 1
    Two triangles are said to be congruent if any pair of 2 angles and any 1 pair of sides of both the triangles are equal.
    Correct
    Wrong
  • 2
    Two triangles are said to be congruent if all three sides of both the triangles are equal.
    Correct
    Wrong
  • 3
    Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle
    Correct
    Wrong
  • 4
    Two triangles are said to be congruent if 2 sides and the included angle of one triangle are equal to 2 sides and the included angle of the other triangle.
    Correct
    Wrong
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Answer : 3. "Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle"

Q:

In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is

389 0

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

Q:

Chord AB of circle of radius 10 cm is at a distance 8 cm from the centre O. If tangents drawn at A and B intersect at P, then the length of the tangent AP (in cm) is:

385 0

  • 1
    7.5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    3.75
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 1. "7.5 "

Q:

Point P lies outside a circle with centre O. Tangents PA and PB are drawn to meet the circle at A and respectively. If ∠APB =800, then ∠OAB is is equal to:

381 0

  • 1
    700
    Correct
    Wrong
  • 2

    400

    Correct
    Wrong
  • 3

    140

    Correct
    Wrong
  • 4

    350

    Correct
    Wrong
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Answer : 2. "

400

"

Q:

In the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.


379 0

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

Q:

In ∆ABC, the bisector of ∠A intersects side BC at D. If AB = 12 cm, AC = 15 cm and BC= 18 cm, then the length of BD is:

379 0

  • 1
    7.5 cm
    Correct
    Wrong
  • 2
    8 cm
    Correct
    Wrong
  • 3
    9.6 cm
    Correct
    Wrong
  • 4
    9 cm
    Correct
    Wrong
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Answer : 2. "8 cm"

Q:

In ΔABC, if G is the centroid and AD is a median with length 9 cm, then the length of AG is:

370 0

  • 1
    5 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    8 cm
    Correct
    Wrong
  • 4
    7 cm
    Correct
    Wrong
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Answer : 2. "6 cm"

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