International Maths Olympiad Forum By SOF Olympiad Trainer - Page 11
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Subject :IMO    Class : Class 10

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C

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Vaibhav Elisetti from sri chaitanya techno school Nallagandla, Hyderabad
Class : Class 7
IT IS D BECAUSE 3abc IS equal to A CUBE+B CUBE+C CUBE

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from ,
Class :
D Because a+b+c=0 And, a3+b3+c3=3abc

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Answer is 3abc cause'. Centroid in coordinate geometry is equal tO X1+X2+X3/2 , Y1+Y2+Y3/2 THEREFORE 0 EQUAL TO X CORDINATE ANT SO A+B+C EQUAL TO ZERO

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D

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Shashank Jain from VCA, Dewas
Subject :IMO    Class : Class 10

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from ,
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Yes the correct answer is π because 22/7 is of the form p/q and if we use π the its value will be 3.14 appox it doesn't have proper value by this we can say that 22/7 is rational number and π is an irrational number

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Srishti Rao from Global Indian International School , singapore
Class : Class 10

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Only Π is irrational because 22/7 is a fraction in p/q form.

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Only Π is irrational because 22/7 is a fraction in p/q form.

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from ,
Subject :IMO    Class : Class 10

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from ,
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from ,
Subject :IMO    Class : Class 10

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KETAKI SUBHASH GHATOL 2 from CSA Satara, Satara
Class : Class 10

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Zaara from Gyan Niketan Girls School, Patna
Class : Class 10
Sir...what would be the solution to this question

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from ,
Subject :IMO    Class : Class 10

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from ,
Class :
C

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The correct answer is C.

In ΔAED, 
∠AE D + ∠EAD + 90° = 180° (Angle sum property) 
⇒ ∠AED + ∠EAD = 90° 
⇒ ∠EAD = 90° – ∠AED ...(i) 
Also, ∠EAD = (50° + ∠AFB) ...(ii) (Exterior angle property) 
From (i) and (ii), we have 
50° + ∠AFB = 90° – ∠AED 
⇒ ∠AFB + ∠AED = 90° – 50° = 40° 
⇒ ∠AED + ∠CFD = 40°


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