DIRECTION: Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in column I have to be matched with statements (p, q, r, s) in column II.
In figure, the line segment \( \mathrm{DE} \) is parallel to the side \( \mathrm{AC} \) of \( \triangle \mathrm{ABC} \) and it divides the triangle into two parts of equal areas, then
Column I
Column II
(A) \( \mathrm{AB}: \mathrm{DB} \)
(p) \( 1: 1 \)
(B) \( \operatorname{ar}(\triangle \mathrm{ABC}): \operatorname{ar}(\triangle \mathrm{BDE}) \)
(q) \( \sqrt{2}: 1 \)
(C) \( \mathrm{AD}: \mathrm{AB} \)
(r) \( 2: 1 \)
(D) \( \angle \mathrm{BDE}: \angle \mathrm{A} \)
(s) \( (\sqrt{2}-1): \sqrt{2} \)
a. A-s, B-q, C-r, D-p
b. A-q, B-r, C-p, D-s
c. A-p, B-s, C-r, D-q
d. A-q, B-r, C-s, D-p
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