Geometry Practice Question and Answer
8 Q: X and Y are centres of circles of radius 9 cm. and 2 cm respectively XY=17 cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that - ∠xzy = 90o the value of r is -
1155 060532a174999e13f2a6d2c2f
60532a174999e13f2a6d2c2f- 113 cmfalse
- 26 cmtrue
- 39 cmfalse
- 48 cmfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "6 cm"
Q: ABCD is a trapezium in which AB is parallel to CD and AB = 4 ( CD ) . The diagonals of the trapezium intersects at O. what is the ratio of area of triangle DCO to the area of the triangle ABO ?
1153 060093cb7a41f3f2fa41eb4a0
60093cb7a41f3f2fa41eb4a0- 11 : 4false
- 21 : 2false
- 31 : 8false
- 41:16true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "1:16 "
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?
1152 060990cb9f738a51c29aa1f1e
60990cb9f738a51c29aa1f1e- 180°false
- 260°false
- 3100°false
- 490°true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. " 90°"
Q: In ΔABC, AB=c cm, AC= b cm and CB=a cm, If ∠A=2 ∠B, then which of the following is true?
1151 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
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "$$ {a^{2}=b^{2}+bc}$$"
Q: ∆ABC is a right angle triangle BD⊥AC. If AD = 12 cm and DC = 8, then BD = ?
1148 0605866149982dc053f987943
605866149982dc053f987943- 1$$ {5\sqrt {6}}$$false
- 2$$ {4\sqrt {6}}$$true
- 38false
- 44false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "$$ {4\sqrt {6}}$$"
Q: PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?
1147 060093b2e70bfa73e5e1df01a
60093b2e70bfa73e5e1df01a- 110false
- 2$$ {5\over{\sqrt{3}}}$$true
- 3$$ {10\over{\sqrt{3}}}$$false
- 4$$ {10{\sqrt{3}}}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "$$ {5\over{\sqrt{3}}}$$"
Q: In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?
1146 06053230ba01bc44789ae7037
6053230ba01bc44789ae7037- 1$$ {10\over 3}{cm}$$false
- 2$$ {5\sqrt{13}\over 6}{ \ cm}$$false
- 3$$ {5\sqrt{13}\over 3}{ \ cm}$$true
- 4$$ {20\over 3} {\ cm}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "$$ {5\sqrt{13}\over 3}{ \ cm}$$"
Q: If the area of a circle, inscribed in a equilateral triangle is 4 π cm2, then what is the area of the triangle?
1141 0605c56e8c5cd4764959facc1
605c56e8c5cd4764959facc1- 1$$ {12\sqrt{3}\ cm^{2}}$$true
- 2$$ {9\sqrt{3}\ cm^{2}}$$false
- 3$$ {8\sqrt{3}\ cm^{2}}$$false
- 4$$ {18\ cm^{2}}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice