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Questions  

The equation of any tangent to the circle x2+y22x+4y4=0 is 

a
y=m(x−1)2+31+m2−2
b
y=mx+31+m2
c
y=mx+31+m2−2
d
none of these

detailed solution

Correct option is A

We have,x2+y2−2x+4y−4=0⇒x2−2x+1+y2+4y+4=32⇒(x−1)2+(y+2)2=32The equation of any tangent of slope mis given byy+2=m(x−1)±31+m2Thus, option (a) is correct.

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