KVPY SA Exam 2014 Question Paper

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Question : 6 of 80

Marks: +1, -0

In a quadrilateral ABCD, which is not a trapezium, it is known that

∠DAB = ∠ABC = 60°

. Moreover,

∠C AB = ∠C B D

. Then

AB = BC + CD
AB = AD + CD
AB = BC + AD
AB = AC + AD

Solution:

Construction: complete the equilateral

\Δ\APB

\Δ\ABC ~ \Δ\BPD

∴

{x − a} /x= b/x⇒ x = a + b

AB = AD + BC

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