Question

if the equation of the circle is (X+1)2+(y+1)2 =9 .what is the equation of tangent at (1,0)​

Answer 1

Answer:

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