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AP EAMCET202021 Sep 2020Morning ShiftMathematicsStraight LinesActual

If the lines (3 x+y-2=0, p x+2 y-3=0 ) and (2 x-y-3=0 ) are concurrent, then (p= )

Options

  1. A-5
  2. B5
  3. C3
  4. D-3

Correct answer

B. 5

Step-by-step solution

It is given that lines (3 x+y-2=0, p x+2 y-3=0 ) and (2 x-y-3=0 ) are concurrent, so ( array lll | array rrr 3 & 1 & -2 p & 2 & -3 2 & -1 & -3 array |=0 3(-6-3)-1(-3 p+6)-2(-p-4)=0 -27+3 p-6+2 p+8=0 5 p-25=0 p=5 array ) Hence, option (b) is correct.

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