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AP EAMCET2012MathematicsCircle

Given the circle C with the equation x^2+y^2-2 x+10 y-38=0 . Match the List I with the List II given below concerning C The correct answer is array llll A & B & C & D array

Options

  1. Aarray llll III & I & V & II array
  2. Barray llll IV & V & I & II array
  3. Carray llll III & V & I & II array
  4. Darray llll IV & II & I & V array

Correct answer

C. array llll III & V & I & II array

Step-by-step solution

Given equation of circle is x^2+y^2-2 x+10 y-38=0 (A) Polar equation at point (4,3) is S₁=0 . aligned & x 4+y 3-(x+4) & +5(y+3)-38=0 & 3 x+8 y=27 aligned (B) Equation of tangent at point (9,-5) is array crrrl x 9+y (-5)-(x+9)+5(y-5)-38 & =0 & & 8 x-72 & =0 & & x & =9 array (C) On differentiating given equation w.r.t. x , we get 2 x+2 y d y d x -2+10 d y d x -0=0 aligned & d y d x (2 y+10)=2-2 x & ( d y d x )_ (-7,-5) = 2-2 (-7) 2 (-5)+10 = 16 0 = 1 0 aligned Equation of normal at point (-7,-5) is aligned & y+5=-0(x

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