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i gave passage related to that please answer the questions

i gave passage related to that please answer the questions

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Grade:10

1 Answers

Kapil Khare
80 Points
5 years ago
Since, the given relation is true for all x and y then we can put any real value in place of x and y.
 
Put x = y = 1, then
                               f(2) – a = f(1) + b
\implies                        32 – 8 = a + b
\implies                          a + b = 24
 
Put x=1 and y=0, then
                              f(1) – a = f(1)
\implies                                a = 0
\implies                                b = 24
 
\implies                      f(x+y) = f(x) + 24y2
 
Put x=0 and y=1, then
                              f(1) = f(0) + 24
\implies                      f(0) = –16
 
Put  y=z and x = 0, then
                               f(z) = f(0) + 24z2
\implies                       f(z) = 24z2 – 16
 
A) The age of S1 = a = 0
     The age of S2 = b = 24
 
​B) The function f(x) = 24x2 – 16

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