Match the following columns . Column I :- (a) In a given ∆ABC, DE ║BC and AD/DB = 3/5 . If AC = 5.6cm, then AE = ……..cm.

Question

Match the following columns

Column I	Column II
(a) In a given ∆ABC, DE ║BC and AD/DB = 3/5 . If AC = 5.6cm, then AE = ……..cm.	(p) 6
(b) If ∆ABC~∆DEF such that 2AB = 3DE and BC = 6cm, then EF = …….cm.	(q) 4
(c) If ∆ABC~∆PQR such that ar(∆ABC) : ar(∆PQR) = 9 : 16 and BC = 4.5cm, then QR = ……..cm.	(r) 3
(d) In the given figure, AB║CD and OA = (2x + 4)cm, OB = (9x – 21)cm, OC = (2x – 1)cm and OD = 3cm. Then x = ?	(s) 2.1

The correct answer is: 

(a) - ……, (b)-……, (c)-……, (d)-…..,

Answer 1

(a) −(s) 

Let AE be X. 

Therefore, EC = 5.6 – X 

It is given that DE || BC. 

Therefore, by B.P.T.,we get:

(c) −(p) 

∵ ∆ABC ~ ∆PQR

(d) −(r) 

∵ AB || CD

but x = − 1/6 makes (2x − 1) < 0, which is not possible. 

Therefore, x = 3