1.

Match the following Column I- with Column-II

Answer»


SOLUTION :(A) `F(x)=x^(3)+ax^(2)+bx+c=(x^(2)+1)(x+a)+(B-)x+(c-a)`
`:' f(x)` is DIVISIBLE by `x^(2)+1impliesb-1=0impliesc=a`
(B) `(A+B)(A-B)=(A-B)(A+B)impliesAB=BA, A^(T)=A,B^(T)=-B`
`(AB)^(T)-(-1)^(k-1)ABimpliesk` is an odd number
(C) `10^(100)-43=999…..9957`
Sum of digits `=98(9)+5+7=894`
(D) `x=7costheta-sintheta, y=7sintheta+costheta, z=10`
`(x^(2)+y^(2))/z=5`


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