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TS EAMCET · Maths · Circle

The number of possible common tangents that can be drawn to the circles x2+y2+4x-6y-3=0 and x2+y2+4x-2y+1=0 is

  1. A 4
  2. B 3
  3. C 1
  4. D 0
Verified Solution

Answer & Solution

Correct Answer

(C) 1

Step-by-step Solution

Detailed explanation

Two circles given are x2+y2+4x-6y-3=0 & x2+y2+4x-2y+1=0 Now compare 1 with x2+y2+2gx+2hy+c=0 we get 2g=4⇒g=2  &  2h=-6 ⇒h=-3 Centre of circle is given by -g,-h ,so C1-2,3 gives the centre of first circle Similarly , C2-2,1…