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Q.

If Δ(x)=02x22x+8x14x2+700x+4 and f(x)=j=13i=13aijcijwhere aij is the element of ith row and jth
column in Δ(x) and cijis the cofactor of aijfor all i,j then greatest value of f(x), for x[3,18] is

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Detailed Solution

f(x)= determinant of Δ(x)=2(x+4)(x1)2f(x)=0x=1,73f(3)=ve,f(1)=0f73 is negative, f(18) is negative  maximum of f(x) is 0

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If Δ(x)=02x−22x+8x−14x2+700x+4 and f(x)=∑j=13 ∑i=13 aijcijwhere aij is the element of ith row and jthcolumn in Δ(x) and cijis the cofactor of aijfor all i,j then greatest value of f(x), for x∈[−3,18] is