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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

If points of intersection of three non-concurrent lines x+2 y=3, a x-y=1 and x+3 y=5 lies on a circle and one of the line is diameter of that circle, then:

Options

  1. Asum of possible values of a is 5
  2. Bthere will be unique value of a
  3. C( -1 7 , 11 7 ) may be centre of the circle
  4. D( 1 14 , 23 14 ) may be centre of the circle

Correct answer

D. ( 1 14 , 23 14 ) may be centre of the circle

Step-by-step solution

(i) If -1 2 a=-1 a=2 Centre = ( -1 7 , 11 7 ) (ii) If -1 3 a=-1 a=3 Centre = ( 1 14 , 23 14 )

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