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Home Aptitude Plane Geometry Comments

  • Question
  • In the given figure, In a ? ABC , ?B = ? C. If AM is the bisector of ? BAC and AN ? BC, then ? MAN is equal to :


  • Options
  • A. 1 (?B + ?C) 2
  • B. 1 (?C- ?B ) 2
  • C. ?B + ?C
  • D. 1 (?B - ?C) 2

  • Correct Answer
  • 1 (?B - ?C) 2 

    Explanation


  • Plane Geometry problems


    Search Results


    • 1. 
      The diagonals of a rectangle ABCD meet at 0. If ? BOC = 44°, then ? OAD is equal to :

    • Options
    • A. 90°
    • B. 60°
    • C. 100°
    • D. 68°
    • Discuss
    • 2. 
      ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :

    • Options
    • A. 90°
    • B. 60°
    • C. 56°
    • D. 62°
    • Discuss
    • 3. 
      X, Y are the mid-points of opposite sides AB and DC of a parallelogram ABCD. AY and DX are joined intersecting in P; CX and BY are joined intersecting in Q. Then PXQY is a :

    • Options
    • A. Rectangle
    • B. Rhombus
    • C. Parallelogram
    • D. Square
    • Discuss
    • 4. 
      The number of tangents that can be drawn to two non-intersecting circles :

    • Options
    • A. 4
    • B. 3
    • C. 2
    • D. 13
    • Discuss
    • 5. 
      In a triangle ABC, the length of the sides AB, AC and BC are 3, 5 and 6 cm respectively. If a point D on BC is drawn such that the line AD bisects the angle A internally, then what is the length of BD?

    • Options
    • A. 2 cm
    • B. 2.25 cm
    • C. 2.5 cm
    • D. 3 cm
    • Discuss
    • 6. 
      If H is the orthocentre of ? ABC, then the orthocentre of ? HBC is (fig. given) :

    • Options
    • A. N
    • B. M
    • C. A
    • D. L
    • Discuss
    • 7. 
      A point O in the interior of a rectangular ABCD is joined with each of the vertices A, B, C and D. Then :

    • Options
    • A. OA2 + OC2 = OB2 ? OD2
    • B. OA2 + OC2 = OB2 + OD2
    • C. OA2 = OB2 = OC2 + OD2
    • D. OA2 + OD2 = OB2 + OC2
    • Discuss
    • 8. 
      ABC is a ? in which AB = AC and D is a point on AC such that BC2 = AC × CD. Then :

    • Options
    • A. BD = DC
    • B. BD = BC
    • C. BD = AB
    • D. BD = AD
    • Discuss
    • 9. 
      The area of two similar ?s are 121 cm 2 and 81 cm 2 respectively. What is the ratio of their corresponding heights (altitudes):

    • Options
    • A. 11 9
    • B. 22 9
    • C. 11 18
    • D. 33 6
    • Discuss
    • 10. 
      In ? ABC, the median BE intersects AC at E, if BG = 6 cm, where G is the centro-id, then BE is equal to :

    • Options
    • A. 7 cm
    • B. 9 cm
    • C. 8 cm
    • D. 10 cm
    • Discuss


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