Geometry Questions and answer Practice Question and Answer

Q:

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is

465 0

  • 1
    $$ 9\sqrt { 3}$$cm
    Correct
    Wrong
  • 2
    $$ 6\sqrt { 3}$$cm
    Correct
    Wrong
  • 3
    3 cm
    Correct
    Wrong
  • 4
    6 cm
    Correct
    Wrong
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Answer : 2. "$$ 6\sqrt { 3}$$cm "

Q:

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

471 0

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

Q:

Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of the four given responses is

480 0

  • 1
    AX = BY = CZ
    Correct
    Wrong
  • 2
    AX ≠ BY = CZ
    Correct
    Wrong
  • 3
    AX = BY ≠ CZ
    Correct
    Wrong
  • 4
    AX ≠ BY ≠ CZ
    Correct
    Wrong
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Answer : 1. "AX = BY = CZ "

Q:

If in a triangle, the circumcenter, incentre, centroid and orthocenter coincide, then the triangle is

401 0

  • 1
    Acute angled
    Correct
    Wrong
  • 2
    Isosceles
    Correct
    Wrong
  • 3
    Right angled
    Correct
    Wrong
  • 4
    Equilateral
    Correct
    Wrong
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Answer : 4. "Equilateral"

Q:

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

388 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:

The side of a trapezium pyramid with a square base is 24 cm. and its height is 5 cm. What will be the area of its oblique surface in cm²?

516 0

  • 1
    572
    Correct
    Wrong
  • 2
    386
    Correct
    Wrong
  • 3
    624
    Correct
    Wrong
  • 4
    158
    Correct
    Wrong
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Answer : 3. "624"

Q:

If the circumradius of an equilateral triangle ABC is 8 cm, then what is the height of the triangle?

639 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    8 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

Q:

The two vowels touch each other internally. Their radii are 2 cm and 3 cm. What will be the length of the largest chord of the bigger circle outside the inner circle?

514 0

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

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