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General
Easy

Question

Let points A(7, 5), B(2, 1), C(10, 3) the vertices of a ΔABC. I is incentre of ΔABC. E and D are points of contact of incircle and sides AC and BC of ΔABC respectively. If G is the intersection points of angle bisector of ΔB and line joining ED. Then angle between line AG and BG is

  1. 30 to the power of ring operator end exponent    
  2. 45 to the power of ring operator end exponent    
  3. 60 to the power of ring operator end exponent    
  4. 90 to the power of ring operator end exponent    

The correct answer is: 90 to the power of ring operator end exponent

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In a ΔABC as in given figure fraction numerator B D over denominator C D end fraction equals fraction numerator 1 over denominator 4 end fraction and fraction numerator A E over denominator C E end fraction equals fraction numerator 1 over denominator 5 end fraction find the ratio of fraction numerator capital delta P A E over denominator capital delta P B D end fraction

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