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Easy

Question

the straight lines xplus 2 y minus 9 equals 03 x plus 5 y minus 5 equals 0 and 22 x minus 35 y minus 1 equals 0 passes through the point

  1. left parenthesis a comma blank b right parenthesis    
  2. (b, a)    
  3. (‐a, b)    
  4. (‐a, ‐b)    

hintHint:

 

The correct answer is: (b, a)


    We should find through which point all the three lines pass through in common

    x+2y9=0.....(i)

    3x+5y5=0....(ii)
    ax+by1=0......(iii)
    Intersection of (i) and (ii) is y=22 and x=2(22)+9=35
    Putting this point in ax+by1=0, we get 35a22b+1=0 
    For the three lines to be concurrent 35x22y+1=0 should pass through (b,a)

    Hence (b,a) is correct option

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