Geometry Practice Question and Answer

Q:

ABCD is a cycle quadrilateral and BC is diameter of the related circle on which A and D also lie. ∠BCA =19and ∠CAD=320. What is the measure of ∠ACD?

422 0

  • 1

    410

    Correct
    Wrong
  • 2

    380

    Correct
    Wrong
  • 3

    400

    Correct
    Wrong
  • 4

    390

    Correct
    Wrong
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Answer : 4. "

390

"

Q:

The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:

482 0

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

Q:

If △ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.

456 0

  • 1
    $$24\sqrt { 2} \ cm$$
    Correct
    Wrong
  • 2
    12
    Correct
    Wrong
  • 3
    $$12\sqrt { 2} \ cm$$
    Correct
    Wrong
  • 4
    $$12\sqrt { 3} \ cm$$
    Correct
    Wrong
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Answer : 4. "$$12\sqrt { 3} \ cm$$"

Q:

In ΔPQR, PQ=QR and O is an interior point of ΔPQR such that ∠OPR=∠ORP.

Consider the following statements:

(i) ΔPOR is an isosceles triangle.

(ii) O is the centroid of ΔPQR.

(iii) ΔPQO is congruent to ΔRQO.

Which of the above statements are correct?

600 0

  • 1
    Only (i) and (ii)
    Correct
    Wrong
  • 2
    Only (i) and (iii)
    Correct
    Wrong
  • 3
    Only (ii) and (iii)
    Correct
    Wrong
  • 4
    Only (ii)
    Correct
    Wrong
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Answer : 2. "Only (i) and (iii) "

Q:

If radius of a sphere is decreased by 48%, then by what percent does its surface area decrease?

635 0

  • 1
    82.91%
    Correct
    Wrong
  • 2
    72.96%
    Correct
    Wrong
  • 3
    78.98%
    Correct
    Wrong
  • 4
    86.26%
    Correct
    Wrong
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Answer : 2. "72.96%"

Q:

AB is a chord of a circle in minor segment with center O.C is a point on the minorarc of the circle between the points A and B. The tangents to the circle at A and B meet at the point P. If ∠ACB = 1020 , then what is the measure of ∠APB?

437 0

  • 1
    290
    Correct
    Wrong
  • 2

    270

    Correct
    Wrong
  • 3

    230

    Correct
    Wrong
  • 4

    240

    Correct
    Wrong
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Answer : 4. "

240

"

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:

397 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:

401 0

  • 1
    700
    Correct
    Wrong
  • 2

    400

    Correct
    Wrong
  • 3

    140

    Correct
    Wrong
  • 4

    350

    Correct
    Wrong
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Answer : 2. "

400

"

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