Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Given (2+6+10+14+ +2 a)+(2+6+10+14+ .+2 b)=(2+6+10+14+ .+2 c) where a + b + c =21 and a 6 . Then a - b is equal to___

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aligned & 2(1+3+5+7+ +a)+2(1+3+5+7+ +b)=2(1+3+5+7+ +c) & [2+ ( a+1 2 -1 ) 2 ] a+1 2 + [2+ ( b+1 2 -1 ) 2 ] b+1 2 = [2+ ( c+1 2 -1 ) 2 ] c+1 2 aligned ( a +1)^2+( b +1)^2=( c +1)^2 a 6 and a+b+c=21 aligned & a=7, b=5, c=9 & a-b=2 aligned

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