Geometry Practice Question and Answer
8 Q: A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is:
1043 16064219bcfdbf24a55622042
6064219bcfdbf24a55622042- 1125 cm2false
- 2230 cm2false
- 3550 cm2false
- 4616 cm2true
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Answer : 4. "616 cm2"
Q: O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to
1041 060069394da571525629f91b2
60069394da571525629f91b2- 190°false
- 270°true
- 380°false
- 4110°false
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Answer : 2. "70°"
Q: AB is diameter of a circle with centre 'O'. CD is a chord which is equal to the radius of the circle. AC and BD are extended so that they intersect each other at point P. Then find the value of ∠ APB.
1037 062fb6d24d30c675eef5b44f7
62fb6d24d30c675eef5b44f7- 1300false
- 2600true
- 3false
900
- 4false
1200
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Answer : 2. "600"
Q: If in a triangle, the orthocenter lies on vertex, then the triangle is
1036 05efe8b0cd4461c5b47dc9e27
5efe8b0cd4461c5b47dc9e27- 1Right angledtrue
- 2Equilateralfalse
- 3Acute angledfalse
- 4Isoscelesfalse
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Answer : 1. "Right angled "
Q: In ΔABC, AB=c cm, AC= b cm and CB=a cm, If ∠A=2 ∠B, then which of the following is true?
1035 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: The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the rest two angles. What is the sum of the smallest and the second largest angles?
1035 060990cb9f738a51c29aa1f1e
60990cb9f738a51c29aa1f1e- 180°false
- 260°false
- 3100°false
- 490°true
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Answer : 4. " 90°"
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
1028 05efeae637228dd6b06e74887
5efeae637228dd6b06e74887- 17 cmfalse
- 28 cmfalse
- 34 cmfalse
- 46 cmtrue
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Answer : 4. "6 cm "
Q: PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?
1024 060093b2e70bfa73e5e1df01a
60093b2e70bfa73e5e1df01a- 110false
- 2$$ {5\over{\sqrt{3}}}$$true
- 3$$ {10\over{\sqrt{3}}}$$false
- 4$$ {10{\sqrt{3}}}$$false
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