Geometry Practice Question and Answer
8 Q: In a circle with centre O, BC is a chord. Points D and A are on the circle, on the opposite side of BC, such that ∠DBC = 28° and BD = DC. What is the measure of ∠BOC?
441 064ba514bc3da05b2213e3986
64ba514bc3da05b2213e3986- 1false
980
- 2false
840
- 3true
1120
- 4false
960
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Answer : 3. "1120
"
Q: In ∆ABC, ∠C=900, Point P and Q are on the sides AC and BC, respectively, such that AP:PC=BQ:QC=1:2.Then, $${AQ^2+BP^2}\over AB^2$$ is equal to:
436 064ba32a188d5e4f52de2e116
64ba32a188d5e4f52de2e116- 1$$8\over 3$$false
- 2$$4\over 3$$false
- 3$$13\over 9$$true
- 4$$4\over 9$$false
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Answer : 3. "$$13\over 9$$"
Q: In ∆PQR, O is the incentre and ∠P = 42°. Then what is the measure of ∠QOR?
373 064b90e2b568e7ff594bdd977
64b90e2b568e7ff594bdd977- 1false
1380
- 2false
1320
- 3true
1110
- 4false
1210
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Answer : 3. "1110
"
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:
404 064b8f27388d5e4f52ddefb25
64b8f27388d5e4f52ddefb25- 17.5 cmfalse
- 28 cmtrue
- 39.6 cmfalse
- 49 cmfalse
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Answer : 2. "8 cm"
Q: In ∆ABC, ∠A=900 , AD is the bisector of ∠A meeting BC at D, and DE ⊥ AC at E. if AB = 10 cm and AC = 15 cm, then the length of DE, in cm, is:
362 064b8ef1188d5e4f52ddede7f
64b8ef1188d5e4f52ddede7f- 18false
- 26true
- 36.25false
- 47.5false
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Answer : 2. "6"
Q: It is given that ∆ABC ≅ ∆PQR, AB = 5 cm, ∠B = 40°, and ∠A = 80°. Which of the following options is true?
454 064b5026d2dc867f593f531bd
64b5026d2dc867f593f531bd- 1PQ = 5 cm and ∠R = 60°true
- 2QR = 5 cm and ∠R = 60°false
- 3QR = 5 cm and ∠Q = 60°false
- 4PQ = 5 cm and ∠P = 60°false
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Answer : 1. "PQ = 5 cm and ∠R = 60°"
Q: PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q, then the sum of ∠S + ∠R will be:
473 064b5008a23047f4c71bf536d
64b5008a23047f4c71bf536d- 1169°false
- 2171°false
- 3187°false
- 4189°true
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Answer : 4. "189°"
Q: In a trapezium ABCD, AB and DC are parallel to each other with a perpendicular distance of 8 m between them. Also, (AD)=(BC)=10 m, and (AB) = 15 m <(DC). What is the perimeter (in m) of the trapezium ABCD?
1048 064b4f5772d3130f57530b564
64b4f5772d3130f57530b564- 150false
- 266false
- 362true
- 458false
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