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

(A) x² + 2(a + 2b)x - b(a + b) = 0

(B) x² + 2(a + 2b)x + a(a + b) = 0

Height and Distance: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q3926

JEE Main 202127 Aug, Evening shiftMathematicsMediumHeight and Distance38× since 2004

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 :