>
Exams
>
Mathematics
>
Increasing and Decreasing Functions
>
if the function f x k x 2 x x x is increasing for
Question:
If the function
\(f(x)=\frac{k \sin x+2\cos x}{\sin x+\cos x}\)
is increasing for all values of x, then
CUET (UG) - 2023
CUET (UG)
Updated On:
Sep 3, 2024
k < 1
1 < k
k > 2
k < 2
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct option is (C) : k>2.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Increasing and Decreasing Functions
If $f(x) = x^2 + bx + 1$ is increasing in the interval $[1, 2]$, then the least value of $b$ is:
CUET (UG) - 2024
Mathematics
Increasing and Decreasing Functions
View Solution
If $f(x) = x e^{x^{1-x}}$, then $f(x)$ is:
KCET - 2024
Mathematics
Increasing and Decreasing Functions
View Solution
The function $x^x$, $x > 0$ is strictly increasing at:
KCET - 2024
Mathematics
Increasing and Decreasing Functions
View Solution
Given:
\(5f (x) 4f(\frac 1x) = x^2 - 4 \)
&
\(y = 9f(x) × x^2\)
If y is strictly increasing, then find interval of
\(x\)
.
JEE Main - 2024
Mathematics
Increasing and Decreasing Functions
View Solution
Let
\(f:→R→(0,∞)\)
be increasing function such that
\(Lt_{x→∞}\frac {f(7x)}{f(x)}=1\)
, then
\(Lt_{x→∞}[\frac {f(5x)}{f(x)}-1]\)
is equal to
JEE Main - 2024
Mathematics
Increasing and Decreasing Functions
View Solution
View More Questions
Questions Asked in CUET exam
The total number of sigma bonds in P$_4$O$_{10}$ is:
CUET (UG) - 2024
Chemical bonding and molecular structure
View Solution
For the reaction 2A₂(g) + ¼X(g) → 2A₂X(g),If the volume is increased to double its value by decreasing the pressure on it. If the reaction is first order with respect to X and second order with respect to A
2
, the rate of reaction will:
CUET (UG) - 2024
Chemical Reaction
View Solution
In the figure given below, APB is a curved surface of radius of curvature 10 cm separating air and a transparent material
\((μ = \frac{4}{3} ).\)
A point object O is placed in air on the principal axis of the surface 20 cm from P. The distance of the image of O from P will be _____.
Fill in the blank with the correct answer from the options given below
CUET (UG) - 2024
Optics
View Solution
Who has been appointed the Chairman of the 16th Finance Commission of India?
CUET (UG) - 2024
Current Affairs
View Solution
\(\text{ If } f(x) = 2\left( \tan^{-1}(e^x) - \frac{\pi}{4} \right), \text{ then } f(x) \text{ is:}\)
CUET (UG) - 2024
Strictly increasing or strictly decreasing function
View Solution
View More Questions