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JEE Math Practice Question

ABC is a triangle in a plane with vertices A(2, 3, 5), B(−1, 3, 2) and C($$\lambda $$, 5, $$\mu $$). If the median through A is equally inclined to the coordinate axes, then the value of ($$\lambda $$3 + $$\mu $$3 + 5) is :

  1. A.1130
  2. B.1348
  3. C.676
  4. D.1077

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