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Highly selective Backlog Qs for JEE MainMathematicsStraight Lines

If the lines 4 x+3 y-1=0, x-y+5=0 and k x+5 y-3=0 are concurrent, then k is equal to :

Options

  1. A4
  2. B5
  3. C6
  4. D7

Correct answer

C. 6

Step-by-step solution

Since, the given three lines are concurrent, then | array rrr 4 & 3 & -1 1 & -1 & 5 k & 5 & -3 array |=0 4(3-25)-3(-3-5 k)-1(5+k)=0 -88+9+15 k-5-k=0 14 k=84 k=6

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