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Question

The equations of the tangents drawn from the point (0, 1) to the circle x2+y22x+4y=0 are
  1. 2x - y + 1 = 0, x + 2y - 2 = 0
  2. 2x - y + 1 = 0, x + 2y - 2 = 0
  3. 2x - y - 1 = 0, x + 2y - 2 = 0
  4. 2x - y - 1 = 0, x + 2y + 2 = 0


Solution

The correct option is A 2x - y + 1 = 0, x + 2y - 2 = 0
Required equations are given by SS1=T2
(x2+y22x+4y)(1+4)=y1(x)+2(y+1)2

2x22y23x+4y+3xy2=0
(2xy+1)(x+2y2)=0.

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