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Basic Properties of a Circle

let s,s1,s2 ...

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let s,s1,s2 are circles of radii 9,6,3 respectively s1 and s2 touches externally and s touches both s1 and s2 internally the length of a chord of s which is common †an gent to s1 and s2 is?

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S_{1}

S_{2}

be two circles with

S_{2}

S_{1}

S

S_{1}

S_{1}

S_{2}

externally. The locus of the center of

S

Q. In a right angled triangle

B C = 5, A B = 4, A C = 3

S

be the circum circle. Let

S_{1}

be the circle touching both sides

A B

A C

S

internally. Let

S_{2}

be the circle touching the sides

A B

A C

△ A B C

and touching the circle

S

r_{1} r_{2}

are radii of circles

S_{1}

S_{2}

respectively then

r_{1} r_{2} =

Q. A variable circles

S

S_{1} : | z - z_{1} | = r_{1}

S_{2} : | z - z_{2} | = r_{2}

externally while the curves

S_{1}

S_{2}

touch internally to each other. Then the eccentricity of the locus of the centre of the curve S is equal to

S_{1}

S_{2}

be two circles touching externally and having radius as

2

3

S_{1}

S_{2}

touch a variable circle

S_{3}

A

B

respectively. If the tangents to

S_{3}

A

B

T

T A = 4 units

, then which of the following is/are correct?
(Here,

C_{i}

represents the centre of circle

S_{i}

)

S_{1}

be a circle passing through

A (0, 1)

B (- 2, 2)

S_{2}

r a d i u s = \sqrt{10}

A B

is common chord of

S_{1}

S_{2}

, find the equation of

S_{2}

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