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.
Column I
(A)
right angled triangle.
(B) \( \triangle \mathrm{PQR} \sim \triangle \mathrm{XYZ} \),
Such that \( \mathrm{PQ}=12 \)
\( \mathrm{cm} \) and \( X Y=14 \mathrm{~cm} \) \( \frac{\operatorname{area}(\triangle \mathrm{PQR})}{\operatorname{area}(\triangle \mathrm{XYZ})}= \) ?
(C) \( \triangle \mathrm{ABC} \sim \triangle \mathrm{PQR} \) and
(r) \( 9: 7 \)
\( \frac{\operatorname{ar}(\triangle \mathrm{PQR})}{\operatorname{ar}(\triangle \mathrm{ABC})}=\frac{81}{49} \)
then, \( \frac{\mathrm{AB}}{\mathrm{PQ}}= \)
(D)
If \( \mathrm{DE} \| \mathrm{BC} \) and
\( \frac{\mathrm{AD}}{\mathrm{DB}}=\frac{18}{14} \) then,
\( \frac{\mathrm{AE}}{\mathrm{EC}}= \) ?
a. \( A-q, B-p, C-s, D-r \)
c. A-s, B-q, C-p, D-r
Column II
(p) \( 36: 49 \)
(q) \( \mathrm{AC}^{2}=\mathrm{AB}^{2}+\mathrm{BC}^{2} \)
(I) \( 9: 7 \)
(s) \( 7: 9 \)
b. A-r, B-s, C-p, D-q
d. A-p, B-q, C-r, D-s
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