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Let the circle S1: x^2+y^2+(4+sintheta)x...

Let the circle `S_1: x^2+y^2+(4+sintheta)x+(3costheta)y=0` and `S_2: x^2+y^2+(3costheta)x+2c y=0` touch each other `m` is the maximum value of `c` if `S_1=0` and `S_2=0` tuch each other then `[m]` is equal to (where [.] denotes greatest integer function).

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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