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Question

If the tangent at the point P on the circle x2+y2+6x+6y=2 meets the line 5x – 2y + 6 = 0 at a point Q on the y-axis, then length of PQ = ___
  1. 5
  2. 45
  3. 4
  4. 55


Solution

The correct option is A 5
The line 5x – 2y + 6 = 0 cuts y-axis at Q(0, 3). Clearly PQ is the length of the tangent drawn from Q on the circle
x2+y2+6x+6y=2PQ=0+9+6×0+6×32=5

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