Geometry Questions and answer Practice Question and Answer

Q:

In △PQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of RQ2/(QS2+ RT2)?

320 0

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

Q:

In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

211 0

  • 1
    21°
    Correct
    Wrong
  • 2
    28°
    Correct
    Wrong
  • 3
    24°
    Correct
    Wrong
  • 4
    22°
    Correct
    Wrong
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Answer : 1. "21°"

Q:

In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

238 0

  • 1
    75°
    Correct
    Wrong
  • 2
    81°
    Correct
    Wrong
  • 3
    84°
    Correct
    Wrong
  • 4
    78°
    Correct
    Wrong
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Answer : 4. "78°"

Q:

A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:

255 0

  • 1
    $$ 2\sqrt {3} \ $$ cm
    Correct
    Wrong
  • 2
    $$ \sqrt {19} \ $$ cm
    Correct
    Wrong
  • 3
    $$ \sqrt {17} \ $$ cm
    Correct
    Wrong
  • 4
    $$ 3\sqrt {3} \ $$ cm
    Correct
    Wrong
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Answer : 2. " $$ \sqrt {19} \ $$ cm"

Q:

In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?

209 0

  • 1
    49 : 13
    Correct
    Wrong
  • 2
    13 : 36
    Correct
    Wrong
  • 3
    13 : 49
    Correct
    Wrong
  • 4
    36 : 13
    Correct
    Wrong
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Answer : 4. "36 : 13"

Q:

In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is:

232 0

  • 1

    630

    Correct
    Wrong
  • 2

    560

    Correct
    Wrong
  • 3

    540

    Correct
    Wrong
  • 4

    720

    Correct
    Wrong
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Answer : 1. "

630

"

Q:

In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If ∠AOD=32° and <COB = 26°, then the measure of ∠APD lies between:

270 0

  • 1

    1800 and 220

    Correct
    Wrong
  • 2

    260 and 300

    Correct
    Wrong
  • 3

    300 and 340

    Correct
    Wrong
  • 4

    220 and 260

    Correct
    Wrong
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Answer : 2. "

260 and 300

"

Q:

In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is:

217 0

  • 1
    11.6
    Correct
    Wrong
  • 2
    10.8
    Correct
    Wrong
  • 3
    13.4
    Correct
    Wrong
  • 4
    12.7
    Correct
    Wrong
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Answer : 4. "12.7"

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