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AP EAMCET201923 Apr 2019Morning ShiftMathematicsStraight LinesActual

If (x+2 y-3=0,3 x+4 y-7=0,2 x+3 y-4 ) (=0 ) and (4 x+5 y-6=0 ) are the equations of four lines, then

Options

  1. Athey are the sides of a square
  2. Bthey are all concurrent lines
  3. Cthey are the sides of a parallelogram
  4. Dnot all of them are concurrent

Correct answer

D. not all of them are concurrent

Step-by-step solution

Given lines are ( array r x+2 y-3=0 (i) 3 x+4 y-7=0 (ii) 2 x+3 y-4=0 (iii) 4 x+5 y-6=0 (iv) array ) On solving Eqs. (i) and (ii), we get point of intersection ( i.e. P=(1,1) ) Here, (P(1,1) ) is not satisfy Eqs. (iii) and (iv) ( ) All the given lines are not concurrent. ( ) Hence, answer is (d).

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