1
Let k R. If x 0+ ( ( kx)+ x+x ) 2x=e6, then the value of k is
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Answer
(2) 2
Solution
1 form: fg=e g(f-1).
Exponent = x 0+ 2x ( ( kx)+ x-1+x )=2(k+0+1)=2(k+1).
2(k+1)=6 k=2.
Answer: (B)
JEE Advanced 2024 Paper 2
Let k R. If x 0+ ( ( kx)+ x+x ) 2x=e6, then the value of k is
(2) 2
1 form: fg=e g(f-1).
Exponent = x 0+ 2x ( ( kx)+ x-1+x )=2(k+0+1)=2(k+1).
2(k+1)=6 k=2.
Answer: (B)
Let S be the set of all ( , ) R R such that x (x2)( e x) ( 1x2 )x ( e(1+x)) =0. Then which of the following is (are) correct?