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KVPY2011MathematicsStraight Lines

In a rectangle A B C D , the coordinates of A and B are (1,2) and (3,6) respectively and some diameter of the circumscribing circle of A B C D has equation 2 x-y+4=0 . Then the area of the rectangle is

Options

  1. A16
  2. B2 10
  3. C2 5
  4. D20

Correct answer

A. 16

Step-by-step solution

Slope of AB = 4 2 =2 slope of BC =- 1 2 ( AB )= 4+16 =2 5 distance between 2 x - y +4=0 & 2 x - y =0 4 5 Area =2 5 8 5 =16

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