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JEE Math Practice Question

Two poles, AB of length a metres and CD of length a + b (b $$\ne$$ a) metres are erected at the same horizontal level with bases at B and D. If BD = x and tan$$\angle$$ACB = $${1 \over 2}$$, then :

  1. A.x2 + 2(a + 2b)x $$-$$ b(a + b) = 0
  2. B.x2 + 2(a + 2b)x + a(a + b) = 0
  3. C.x2 $$-$$ 2ax + b(a + b) = 0
  4. D.x2 $$-$$ 2ax + a(a + b) = 0

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