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Question

If (a,1a),(b,1b),(c,1c)&(d,1d) are four distinct points on a circle of radius 4 units then, abcd is equal to
  1. 16
  2. 4
  3. 1


Solution

The correct option is D 1
Solving x2+y2+2gx+2fy+k=0 and xy = 1
x2+1x2+2gx+2fx+k=0x4+2gx3+kx3+2gx+1=0
Product of the roots S4=1abcd=1

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