Geometry 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?
1209 06051c698a37d522d6c151f0f
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: PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?
1200 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: A circle is inscribed in a equilateral triangle of side 24 cm. What is the area ( in cm2) of a square inscribed in the circle?
1200 06051c381a37d522d6c151186
6051c381a37d522d6c151186- 148false
- 296true
- 354false
- 472false
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Answer : 2. "96"
Q: Triangle PQR is inscribed in the circle whose radius is 14 cm . If PQ is the diameter of the circle and PR =10 cm , then what is the area of the triangle ?
1196 0600940beda57152562aa7262
600940beda57152562aa7262- 1196false
- 2$$ {30{\sqrt{19}}}$$true
- 3$$ {40\over 17}$$false
- 4$$ {35{\sqrt{21}}}$$false
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Answer : 2. "$$ {30{\sqrt{19}}}$$"
Q: A circle with radius 42 cm is drawn. What will be length of arc of a sector subtending an angle of 60 degrees at the Centre?
1195 05ff83007bfde3c2d396435b5
5ff83007bfde3c2d396435b5- 144 cmtrue
- 222 cmfalse
- 366 cmfalse
- 488 cmfalse
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Answer : 1. "44 cm"
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
1194 05efeae637228dd6b06e74887
5efeae637228dd6b06e74887- 17 cmfalse
- 28 cmfalse
- 34 cmfalse
- 46 cmtrue
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Answer : 4. "6 cm "
Q: Find the second diagonal of a rhombus when it’s first diagonal length is 12 cm and its side is 10 cm?
1193 05f154c1b4cff381d16262119
5f154c1b4cff381d16262119- 124 cmfalse
- 216 cmtrue
- 318 cmfalse
- 422 cmfalse
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Answer : 2. "16 cm"
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?
1189 05f0e768ddcdb5f61f5c2f85c
5f0e768ddcdb5f61f5c2f85c- 15:9false
- 281:25false
- 39:5true
- 425:81false
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