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Q.

A parallelogram is formed with a and b as the sides. Let d1 and d2 be the diagonals of the parallelogram. Then a2 + b2 = …..

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a

d12+d22

b

d12−d22

c

d12+d22/2

d

d12−d22/2

answer is C.

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Detailed Solution

d1 = a+b and d2= a -bNow d12=a2+b2+2abcos⁡θand d22=a2+b2−2abcos⁡θ∴a2+b2=d12+d22/2
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A parallelogram is formed with a and b as the sides. Let d1 and d2 be the diagonals of the parallelogram. Then a2 + b2 = …..