JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

Consider the following two propositions

P_1

and

P_2

\mathbf{P}_1

: If

f

and

g

are increasing functions on

[a, b]

, then

f+g

is also increasing on

[a, b]

\mathbf{P}_2

: If

f(x)=x

and

g(x)=1-x

are defined on

[0,1]

, then the product

f g

is increasing on

[0,1]

.
Then

View answer and explanation

Correct option: B

\mathrm{P}_1

is true, but

\mathrm{P}_2

is false

Option B is correct because P1 is true (sum of increasing functions is increasing), while P2 is false (product fg is not increasing on [0,1]).

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