11th Class Mental Ability Geometry Question Bank

done Question - Geometry Total Questions - 10

• question_answer1)
  In the adjoining figure of \[\Delta \mathbf{ABC}=\mathbf{12}{{\mathbf{0}}^{\mathbf{{}^\circ }}}\] and \[\mathbf{AB=c,}\,\mathbf{BC=a,}\,\,\mathbf{AC=b}\]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
  View Solution play_arrow

• 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)
  \[2:\sqrt{\text{3}}\] done clear
  D)
  \[\sqrt{3}:2\] done clear
  E)
  None of these done clear
  View Solution play_arrow

• question_answer3)
  In the\[\Delta \mathbf{ABC}\], BD bisects\[\angle \mathbf{B}\], 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, 12 done clear
  B)
  10, 12 done clear
  C)
  16, 8 done clear
  D)
  8, 15 done clear
  E)
  None of these done clear
  View Solution play_arrow

• question_answer4)
  In the given diagram AB||CD, 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)
  \[\Delta AOB-\Delta COD\]   done clear
  D)
  All of these done clear
  E)
  None of these done clear
  View Solution play_arrow

• question_answer5)
  In the figure BC||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
  View Solution play_arrow

• question_answer6)
  Find the maximum area that can be enclosed in a triangle of perimetre 24 cm:
  A)
  \[32c{{m}^{2}}\] done clear
  B)
  \[16\text{ }\sqrt{3}\text{ }c{{m}^{2}}\] done clear
  C)
  \[16\text{ }\sqrt{\text{2}}\,\,c{{m}^{2}}\] done clear
  D)
  \[27\text{ }c{{m}^{2}}\] done clear
  E)
  None of these done clear
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• question_answer9)
  In the adjoining figure, O is the centre of circle and diametre AC = 26 cm. If chord AB = 10 cm, then the distance between chord AB and centre O of the circle is:
  A)
  24cm   done clear
  B)
  16cm done clear
  C)
  12cm done clear
  D)
  11cm done clear
  E)
  None of these done clear
  View Solution play_arrow

• 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
  View Solution play_arrow