Select Goal &
City
Select Goal
Explore
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
If the function \(f(x)=\frac{k \sin x+2\cos x}{\sin x+\cos x}\) is increasing for all values of x, then
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.
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
- 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
- In which interval the function \(f(x) = \frac {x}{(x^2-6x-16)}\) is increasing?
- JEE Main - 2024
- Mathematics
- Increasing and Decreasing Functions
- 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
- Let $\alpha \in(0,1)$ and $\beta=\log _e(1-\alpha)$ Let $P_n(x)=x+\frac{x^2}{2}+\frac{x^3}{3}+\ldots+\frac{x^n}{n}, x \in(0,1)$ Then the integral $\int\limits_0^\alpha \frac{t^{50}}{1-t} d t$ is equal to
- JEE Main - 2023
- Mathematics
- Increasing and Decreasing Functions
View More Questions
Questions Asked in CUET exam
- Formaldehyde undergoes Cannizzaro reaction because
(A) It has alpha-hydrogen atom.
(B) It does not have alpha-hydrogen atom.
(C) It does not undergo self-oxidation and reduction on heating with concentrated alkali.
(D) It undergoes self-oxidation and reduction on heating with concentrated alkali.- CUET (UG) - 2024
- Redox Reactions
- For predicting the straight-line trend in the sales of washing machines (in thousands) on the basis of 8 consecutive years' data, the company calculates 4-year moving averages. If the sales of washing machines for respective years are \( a, b, c, d, e, f, g, \) and \( h \), then which of the following averages will be computed?
(A) \( \frac{a + b + c + d}{4} \)
(B) \( \frac{a + c + d + e}{4} \)
(C) \( \frac{c + d + f + h}{4} \)
(D) \( \frac{b + c + d + e}{4} \)
Choose the correct answer from the options given below: - If \( A = \begin{bmatrix} 5 & 1 \\ -2 & 0 \end{bmatrix} \) and \( B^T = \begin{bmatrix} 1 & 10 \\ -2 & -1 \end{bmatrix} \), then the matrix \( AB \) is:
- CUET (UG) - 2024
- Matrices
- The correct solution of \(-22 < 8x - 6 \leq 26\) is the interval:
- CUET (UG) - 2024
- Number Systems
- Vibhuti bought a car worth ₹10,25,000 and made a down payment of ₹4,00,000. The balance is to be paid in 3 years by equal monthly installments at an interest rate of 12% p.a. The EMI that Vibhuti has to pay for the car is:
(Use \( (1.01)^{-36} = 0.7 \))- CUET (UG) - 2024
- Simple Interest
View More Questions
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved