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Limits and Derivatives · Question 3

JEE Advanced 2024 Paper 2MCQEasy📈 Topic in 17% papers+4−1
1

Let k R. If x 0+ ( ( kx)+ x+x ) 2x=e6, then the value of k is

  1. 1
  2. 2
  3. 3
  4. 4

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

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2

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?

  1. (-1,3) S
  2. (-1,1) S
  3. (1,-1) S
  4. (1,-2) S
JEE Advanced 2024 Paper 2

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