Mathematics
Coordinate-Geometry
Easy

Question

If a comma x subscript 1 comma x subscript 2 are in G.P. with common ratio r and b comma y subscript 1 comma y subscript 2 are in G.P. with common ratio s where s - r = 2, then the area of the triangle with vertices left parenthesis a comma b right parenthesis comma open parentheses x subscript 1 comma y subscript 1 close parentheses and open parentheses x subscript 2 comma y subscript 2 close parenthesesis

  1. open vertical bar a b open parentheses r squared minus 1 close parentheses close vertical bar
  2. a b open parentheses r squared minus s squared close parentheses
  3. a b open parentheses s squared minus 1 close parentheses
  4. a b r s

The correct answer is: open vertical bar a b open parentheses r squared minus 1 close parentheses close vertical bar


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