Geometry Questions and answer Practice Question and Answer
8 Q: In ΔABC, AB=c cm, AC= b cm and CB=a cm, If ∠A=2 ∠B, then which of the following is true?
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6051c698a37d522d6c151f0f- 1$$ {a^{2}=b^{2}-bc}$$false
- 2$$ {a^{2}=b^{2}-ac}$$false
- 3$$ {a^{2}=b^{2}+bc}$$true
- 4$$ {a^{2}=b^{2}+ac}$$false
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Answer : 3. "$$ {a^{2}=b^{2}+bc}$$"
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?
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64953b1dcae316dfef75bf02- 1Only (i) and (ii)false
- 2Only (i) and (iii)true
- 3Only (ii) and (iii)false
- 4Only (ii)false
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Answer : 2. "Only (i) and (iii) "
Q: ΔABC is similar to ΔDEF. Length of AB is 18 cm and length of the corresponding side DE is 10 cm. What is the ratio of Perimeter of ΔABC : Perimeter of ΔDEF?
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5f0e768ddcdb5f61f5c2f85c- 15:9false
- 281:25false
- 39:5true
- 425:81false
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Answer : 3. "9:5 "
Q: PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?
1259 060093b2e70bfa73e5e1df01a
60093b2e70bfa73e5e1df01a- 110false
- 2$$ {5\over{\sqrt{3}}}$$true
- 3$$ {10\over{\sqrt{3}}}$$false
- 4$$ {10{\sqrt{3}}}$$false
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Answer : 2. "$$ {5\over{\sqrt{3}}}$$"
Q: The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle?
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5f4df72482369c1d6113e0f2- 1$$ {48\ cm^{2}}$$false
- 2$$ {16\sqrt{3}}\ cm^{2}$$false
- 3$$ {192\sqrt{3}}\ cm^{2}$$true
- 4$$ {192 \ cm^{2}}$$false
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Answer : 3. "$$ {192\sqrt{3}}\ cm^{2}$$ "
Q: P and Q are center of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the center of another circle of radius x cm, which touches each of the above two circles externally. If ∠PRQ = 90 °, then the value of x is
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5efeae637228dd6b06e74887- 17 cmfalse
- 28 cmfalse
- 34 cmfalse
- 46 cmtrue
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Answer : 4. "6 cm "
Q: ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ΔABC= x cm2, then what is the area (in cm2) of ΔDBC?
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5f40dd439b782961da3f49dd- 1$${ab\over 2}{x}$$false
- 2$${a\over b}{x}$$false
- 3$${b\over a}{x}$$true
- 4$${a+b\over2}{x}$$false
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Answer : 3. "$${b\over a}{x}$$"
Q: The ratio of circumradius and hypotenuse a right-angled triangle is
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600695227a0c6e1017e02cc2- 11 : 1false
- 22 : 3false
- 31 : 2true
- 42 : 1false
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