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AP EAMCET2003MathematicsStraight Lines

The line passing through (-1, 2 ) and perpendicular to 3 +2 = 4 r is :

Options

  1. A2= 3 r -2 r
  2. B5=-2 3 r +4 r
  3. C2= 3 r +2 r
  4. D5=2 3 r +4 r

Correct answer

A. 2= 3 r -2 r

Step-by-step solution

Given, 3 +2 = 4 r ...(i) Any line perpendicular to Eq. (i) is 3 ( 2 + )+2 ( 2 + )= k r 3 -2 = k r It passes through (-1, 2 ) , then 3 2 -2 2 = k -1 -2= k -1 k=2 Thus, the equation is 3 -2 = 2 r 3 r -2 r =2

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