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KVPY2011MathematicsProperties of Triangles

In the adjoining figure AB =12 ~cm , CD =8 ~cm , BD =20 ~cm ; ABD = AEC = EDC =90^ . If BE = x , then

Options

  1. Ax has two possible values whose difference is 4
  2. Bx has two possible values whose sum is 28
  3. Cx has only one value and x 12
  4. Dx cannot be determined with the given information

Correct answer

A. x has two possible values whose difference is 4

Step-by-step solution

12 x = 20-x 8 x²-20 x+96=0 x=8,12

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