#### If a circle passing through the point (-1, 0) touches y-axis at (0, 2), then the length of the chord of the circle along the x-axis is : Option 1) Option 2) Option 3) 3 Option 4) 5

As learnt in concept

Circle touching y-axis and having radius r -

- wherein

Where g is a variable parameter.

Equation of a circle -

- wherein

Circle with centre and radius .

If the centre is (h, 2) then

equartion of circle is

and it passes through point (-1, 0)

putting values , we get

So centre is

(-4, 0) satisfies this equation.

Option 1)

Option 2)

Option 3)

3

Option 4)

5