The equation of the tangent to the circle x2+y2+4x-4y+4=0, which makes equal intercept on the positive coordinate axes is: - Maths - Conic Sections

Question

The equation of the tangent to the circle
x2+y2+4x-4y+4=0, which makes equal intercept
on the positive coordinate axes is:

x+y=2
x+y=2(2)1/2
x+y=4
x+y=8

Anuradha Sharma · Accepted Answer

If tangent is y=mx+c   Equal intercept means m=-1  x+y=c  perpendicular from center of the circle on tangent is radius  <img alt=""
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The equation of the tangent to the circle x2+y2+4x-4y+4=0, which makes equal intercept on the positive coordinate axes is: x+y=2 x+y=2(2)1/2 x+y=4 x+y=8

The equation of the tangent to the circle x²+y²+4x-4y+4=0, which makes equal intercept on the positive coordinate axes is:

x+y=2

x+y=2(2)^1/2

x+y=4

x+y=8