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JEE Math Practice Question

Let $$C(\alpha, \beta)$$ be the circumcenter of the triangle formed by the lines $$4 x+3 y=69$$ $$4 y-3 x=17$$, and $$x+7 y=61$$. Then $$(\alpha-\beta)^{2}+\alpha+\beta$$ is equal to :

  1. A.15
  2. B.17
  3. C.16
  4. D.18

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