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2 months ago

Binary Operation Maths NCERT Exemplar Solutions Class 12th Chapter Twelve

Let c,  k∈R.  If  f(x)=(c+1)x2+(1−c2)x+2k and f(x+y)=f(x)+f(y)−xy, for all x, y ∈ R, then the value of |2(f(1)+f(2)+f(3)+....+f(20))| is equal to………….
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alok kumar singh

Contributor-Level 10

f (x) = (c + 1)x2 + (1 – c2)x + 2k

f' (x)= ( (c+1))2x+ (1−c2)............. (i)

f' (x)=limy→0If (x+y)−f (x)x+y−x

=limy→0f (y)−xyy

f' (x)=limy→0f (y)y−x

x+f' (x)=limy→0f (y)−f (0)y−0as  f (c)=0

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