Geometry Questions and answer Practice Question and Answer

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.


399 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:

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

401 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

402 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:

If C1, C2 be the centres of rwo circles and r1, r2 be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.

423 0

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

Q:

If△ABC ∼ △EDF such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is:

375 0

  • 1
    8 cm
    Correct
    Wrong
  • 2
    10 cm
    Correct
    Wrong
  • 3
    12 cm
    Correct
    Wrong
  • 4
    14 cm
    Correct
    Wrong
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Answer : 3. "12 cm "

Q:

An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠CBD=400. Find the measure of ∠BCD.

446 0

  • 1

    500

    Correct
    Wrong
  • 2

    500

    Correct
    Wrong
  • 3

    200

    Correct
    Wrong
  • 4

    300

    Correct
    Wrong
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Answer : 3. "

200

"

Q:

The measure of an angle whose supplement is three times as large as its complement, is 

388 0

  • 1
    75°
    Correct
    Wrong
  • 2
    30°
    Correct
    Wrong
  • 3
    45°
    Correct
    Wrong
  • 4
    60°
    Correct
    Wrong
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Answer : 3. "45° "

Q:

An isosceles triangle ABC is right angled at B.D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the side AB and AC respectively of ∆ ABC. If AP = a cm, AQ = b cm and ∠BAD = 15°, sin 75°=

492 0

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

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