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AP EAMCET2004MathematicsStraight Lines

Suppose A, B are two points on 2 x-y+3=0 and P(1,2) is such that P A=P B . Then, the mid-point of A B is

Options

  1. A( -1 5 , 13 5 )
  2. B( -7 5 , 9 5 )
  3. C( 7 5 , -9 5 )
  4. D( -7 5 , -9 5 )

Correct answer

A. ( -1 5 , 13 5 )

Step-by-step solution

Therefore its slope is (- 1 2 ) . Equation of line P M is y-2=- 1 2 (x-1) On solving Eqs. (i) and (ii), we get the mid-point of A B is M (- 1 5 , 13 5 ) .

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