9th Class Mathematics Geometry Question Bank

done Geometry Total Questions - 10

• question_answer1)
  In the adjoining figure of \[\angle ABC,\text{ }\angle BCA=120{}^\circ \] and \[AB=c,\text{ }BC=a,\text{ }AC=b\] then:
  A)
  \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}+ba\]     done clear
  B)
  \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}-ba\] done clear
  C)
  \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}-2ba\]                 done clear
  D)
  \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}+2ba\] done clear
  E)
  None of these done clear
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• question_answer2)
  What is the ratio of side and height of and equilateral triangle?
  A)
  \[2:1\]                    done clear
  B)
         \[1:1\] done clear
  C)
  \[2:\sqrt{3}\]   done clear
  D)
         \[\sqrt{3\text{ }}:2\] done clear
  E)
  None of these done clear
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• question_answer3)
  In the \[\angle ABC,\] BD bisects \[\angle B\], and is perpendicular to AC. If the lengths of the sides of the triangle are expressed in terms of x and y as shown, then find the value of x and y:
  A)
  \[6,\text{ }12\]   done clear
  B)
                    \[10,\text{ }12\] done clear
  C)
  \[16,\text{ }8\]     done clear
  D)
         \[8,\text{ }15\] done clear
  E)
  None of these done clear
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• question_answer4)
  In the given diagram \[AB\parallel \,AD\]. Then which one of the following is true?
  A)
  \[\frac{AB}{AC}=\frac{AO}{OC}\]        done clear
  B)
         \[\frac{AB}{CD}=\frac{BO}{OD}\] done clear
  C)
  \[\Delta AOB\sim \Delta COD\]  done clear
  D)
         All of these done clear
  E)
  None of these done clear
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• question_answer5)
  In the figure \[BC\parallel AD.\] Find the value of x:
  A)
  9, 10                             done clear
  B)
  7, 8 done clear
  C)
  10, 12                  done clear
  D)
         8, 9 done clear
  E)
  None of these done clear
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• question_answer6)
  Find the maximum area that can be enclosed in a triangle of perimetre 24 cm:
  A)
  \[32\,c{{m}^{2}}\]                done clear
  B)
         \[16\sqrt{3\,}c{{m}^{2}}\] done clear
  C)
  \[16\sqrt{2\,}\,c{{m}^{2}}\]           done clear
  D)
        \[27\,c{{m}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer7)
  If one of the interior angles of a regular polygon is equal to 5/6 times of one of the interior angles of a regular pentagon, then the number of sides of the polygon is:
  A)
  3                          done clear
  B)
         4 done clear
  C)
  6                          done clear
  D)
         8 done clear
  E)
  None of these done clear
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• question_answer8)
  If each interior angle of a regular polygon is 3 times its exterior angle, the number of sides of the polygon is :
  A)
  4                          done clear
  B)
         5 done clear
  C)
  6                          done clear
  D)
         8 done clear
  E)
  None of these done clear
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• question_answer9)
  In the adjoining figure, 0 is the centre of circle and diametre AC = 26 cm. If chord AB = 10 cm, then the distance between chord AB and centre 0 of the circle is:
  A)
  24 cm                  done clear
  B)
        16cm done clear
  C)
  12 cm    done clear
  D)
          11 cm done clear
  E)
  None of these   done clear
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• question_answer10)
  A polygon has 54 diagonals. The number of sides in the polygon is :
  A)
  7                         done clear
  B)
         9 done clear
  C)
  12     done clear
  D)
         11 done clear
  E)
  None of these done clear
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