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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

Let A B C be a triangle such that A B=A C . If equation of the side A B: 7 x+y=0 , A C: x+y=0 and line B C is passing through (2,3) , then which of the following may be correct?

Options

  1. AB C: 2 x+y=7
  2. BArea of A B C is 147 5
  3. CB C: x-2 y+4=0
  4. DArea of A B C is 16 5

Correct answer

C. B C: x-2 y+4=0

Step-by-step solution

Slope of B C is -2 or 1 2 aligned & B C: 2 x+y=7 or B C: x-2 y+4=0 & A(0,0), B(7,-7), C ( -7 5 , 49 5 ) = 147 5 & A(0,0), B ( -4 3 , 4 3 ), C ( -4 15 , 28 15 ) = 16 15 aligned

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