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Home Aptitude Plane Geometry Comments

  • Question
  • ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :


  • Options
  • A. 90°
  • B. 60°
  • C. 56°
  • D. 62°

  • Correct Answer
  • 62° 

    Explanation


  • Plane Geometry problems


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    • 1. 
      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
    • 2. 
      The number of tangents that can be drawn to two non-intersecting circles :

    • Options
    • A. 4
    • B. 3
    • C. 2
    • D. 13
    • Discuss
    • 3. 
      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
    • 4. 
      In the accompanying figure, AB is one of the diameters of the circle and OC is perpendicular to it through the centre O. If AC is 7?2 cm, then what is the area of the circle in cm 2?

    • Options
    • A. 24.5
    • B. 49
    • C. 98
    • D. 154
    • Discuss
    • 5. 
      In the following figure, If BC = 8 cm, AB = 6 cm, AC 9 cm, then DC is equal to :

    • Options
    • A. 7 cm
    • B. 4.8 cm
    • C. 7.2 cm
    • D. 4.5 cm
    • Discuss
    • 6. 
      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
    • 7. 
      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
    • Discuss
    • 8. 
      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
    • 9. 
      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
    • 10. 
      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


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