AP EAMCET202420 May 2024Evening ShiftMathematicsStraight LinesActual

If the line 2 x-3 y+5=0 is the perpendicular bisector of the line segment joining (1,-2) and ( , ) , then + =

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Correct answer

B. 1

Step-by-step solution

2 x-3 y+5=0 is perpendicular bisector then mid point of A(1,-2) and ( , ) lines on the line segment AB AB = ( +1 2 , -2 2 ) 2 ( +1 2 )-3 ( -2 2 )+5=0 2 -3 +18=0 .... (i) aligned & AB 2 x-3 y+5=0 & ( +2 -1 ) ( 2 3 )=-1 2 +4=-3 +3 & 3 +2 +1=0 .... (ii) aligned Solving (i) and (ii), we get =-3, =4 So, + =1

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