πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!

  • google app store apple app store
  • βœ–

      Question

      In the given figure, ABCD is a trapezium and AB!! DC. If

      OD = 3cm, OC = (x – 5) cm, OB = (3-x) cm and OA = (3x – 19) cm, then which Can the following be the value of β€˜x’?
      A 8 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D 5 Correct Answer Incorrect Answer

      Solution

      Diagonals of a trapezium divide each other. proportionally. So, (AO/OC) = (BO/OD) Or {(3x – 19)/ (x – 5)} = {(3-x)/3} Or, 3 Γ— (3x – 19) = (x – 5) (3 – x) Or 9x – 57 = 3x-x Β²Β -15+5x Or x Β²Β +x-42=0 xΒ²Β +7x-6x-42=0 x(x+7)-6(x+7) =0 x=6, -7

      Practice Next
      ask-question