Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Morning shift · Q25

JEE Main 202131 Aug, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the variable line 3x + 4y =

\alpha

lies between the two circles (x

-

1)² + (y

-

1)² = 1 and (x

-

9)² + (y

-

1)² = 4, without intercepting a chord on either circle, then the sum of all the integral values of

\alpha

is ___________.

Your answerType your answer. Integers and decimals are accepted.

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