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A vartiable circle always touches the li...

A vartiable circle always touches the line `x + y -2 = 0` at (1,1) and cuts the circle `x ^(2) + y ^(2) + 4x + 5y - 4 =0` at A and B. If the line joining AB always passes through fixed point `(alpha, beta),` then `(beta)/(alpha)` is equal to

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The correct Answer is:
`-0.75`
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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 79-MATHEMATICS
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