if the equation of the circle is (X+1)2+(y+1)2 =9 .what is the equation of tangent at (1,0)
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Equation of circle is x
2
+y
2
=9
equation of tangent parallel to 2x+y−3=0 is 2x+y+λ=0
its distance from centre = radius of the circle.
radius of circle =3 units.
∴
4+1
∣2×0+0+λ∣
=3
⇒λ=3
5
∴ Equation of tangent is 2x+y+3
5
=0
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