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The polar equation of the line perpendicular to the line - = 1 r and passing through the point (2, 6 ) is

Options

  1. A+ = 3 +1 r
  2. B- = 3 +1 r
  3. C+ = 3 -1 r
  4. D- = 3 r

Correct answer

A. + = 3 +1 r

Step-by-step solution

Given polar equation of line and point (2, / 6) Let x=r =2 / 6= 3 and y=r =2 / 6=1 The cartesian point is ( 3 , 1) . Now, we change the polar of line into cartesian form i.e., r -r =1 Equation of perpendicular line to Eq. (ii) is which passes through ( 3 , 1) = 3 +1 From Eq. (iii), we get x+y= 3 +1 Now, we convert this into polar form aligned r +r & = 3 +1 + & = 3 +1 r aligned

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