Q: The right-angled triangle ABC is such that ∠B = 90°. Point D is picked on BC such that triangles ABC and DBA are similar. If AB : BC = m : n, what is ΔABC : ΔABD, where Δ denotes the area of a triangle?
(a)n : m
(b)n² : m²
(c)(m + n) : n
(d)(m + n)² : n²
Correct Answer: (b)
The correct answer is (d) '(m + n)² : n²'. This question from the General Studies domain tests knowledge of Miscellaneous.