Maths-
General
Easy

Question

The area of the quadrilateral formed by the tangents at the ends of latus-rectum of 5 x to the power of 2 end exponent plus 9 y to the power of 2 end exponent equals 45 is

  1. 27    
  2. fraction numerator 27 over denominator 2 end fraction    
  3. fraction numerator 27 over denominator 4 end fraction    
  4. 90    

The correct answer is: 27


    a equals 3 comma b equals square root of 5 comma e equals fraction numerator 2 over denominator 3 end fraction
    One end of latus-rectum in the first quadrant is open parentheses 2 comma fraction numerator 5 over denominator 3 end fraction close parentheses
    table row cell text end text text T end text text a end text text n end text text g end text text e end text text n end text text t end text text end text S subscript 1 end subscript equals 010 x plus 15 y equals 45 text end text text o end text text r end text text end text end cell row cell 2 x plus 3 y equals 9 end cell row cell text end text text I end text text t end text text end text text m end text text e end text text e end text text t end text text s end text text end text text a end text text x end text text e end text text s end text text end text text a end text text t end text text end text open parentheses fraction numerator 9 over denominator 2 end fraction comma 0 close parentheses text end text text a end text text n end text text d end text text end text left parenthesis 03 right parenthesis end cell end table
    text The area of the quadrilateral  end text equals 4. fraction numerator 1 over denominator 2 end fraction times fraction numerator 9 over denominator 2 end fraction times 3 equals 27

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