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JEE Math Practice Question

If for a > 0, the feet of perpendiculars from the points A(a, $$-$$2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0, $$-$$a, $$-$$1) and D respectively, then the length of line segment CD is equal to :

  1. A.$$\sqrt {41} $$
  2. B.$$\sqrt {55} $$
  3. C.$$\sqrt {31} $$
  4. D.$$\sqrt {66} $$

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