Let \alpha be an integer multiple of 8 . If S is the set of all possible values of \alpha such that the line 6 x+8 y+\alpha=0 intersects the circle x^2+y^2-4 x-6 y+9=0 at two distinct points, then the number of elements in S is [AP EAPCET 20 May 2024 Shift 1]

Circle

Section: Mathematics

Question : 73 of 89

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Let α be an integer multiple of 8 . If S is the set of all possible values of α such that the line 6x+8y+α=0 intersects the circle x2+y2−4x−6y+9=0 at two distinct points, then the number of elements in S is

[AP EAPCET 20 May 2024 Shift 1]

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‌6
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‌1

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