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AP EAMCET · Maths · Straight Lines

If A(4,7), B(-7,8) and C(1,2) are the vertices of ABC, then the equation of perpendicular bisector of the side AB is

  1. A x11y24=0
  2. B 11x+y+24=0
  3. C 11xy+24=0
  4. D 11x+y24=0
Verified Solution

Answer & Solution

Correct Answer

(C) 11xy+24=0

Step-by-step Solution

Detailed explanation

The slope of the side AB is 8-7-7-4=-111 Hence, the slope of the line which is perpendicular to AB is 1--111=11 (Say m) Now, say, point D is the mid-point of the line AB, Hence, the co ordinate of point D is -32, 152. Now, the equation of perpendicular bisector will be the…