AP EAMCET · Maths · Functions
Which of the following is true about \(f(x)=3\) \(\sinh (x)-2 \cosh (x), \forall x \in \mathbf{R}\)
- A \(f\) is an odd function
- B \(f\) is a periodic function
- C \(f\) is a strictly increasing function on \(\mathbf{R}\)
- D \(f\) is a strictly decreasing function on \(\mathbf{R}\)
Answer & Solution
Correct Answer
(C) \(f\) is a strictly increasing function on \(\mathbf{R}\)
Step-by-step Solution
Detailed explanation
Given, function, \(f(x)=3 \sin h(x)-2 \cos h(x)\), \(\forall x \in \mathbf{R}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- For \(n \geq 2\), If \(I_n=\int \sec ^n x d x\), then \(I_4-\frac{2}{3} I_2=\)AP EAMCET 2018 Hard
- Let 1 be the directrix of the parabola \(9 y^2+12 y+9 x-14=0\) and \(l_1\) be the line passing through the vertex of this parabola and the origin. If \((\mathrm{h}, \mathrm{k})\) is the point of intersection of \(l\) and \(l_1\), then \(\mathrm{h}+\mathrm{k}=\)AP EAMCET 2023 Medium
- If a cubical die is thrown, then the mean and variance of the random variable \(\mathrm{X}\), giving the number on the face that shows up, are respectivelyAP EAMCET 2023 Easy
- When six coins are tossed simultaneously, the probability of getting at least 4 heads isAP EAMCET 2020 Easy
- The coordinates of a point, in the parametric form, on the ellipse whose foci are \((-1,0)\) and \((7,0)\) and eccentricity \(\frac{1}{2}\), areAP EAMCET 2017 Medium
- A is the set of all matrices of order 3 with entries 0 or 1 only. \(B\) is the subset of \(A\) consisting of all matrices with determinant value 1. If \(C\) is the subset of \(A\) consisting of all matrices with determinant value -1, thenAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- A current \(I\) a flows in a circular arc of radius \(r\) subtending an angle \(\theta\) as shown in the figure. Find the magnetic field at the centre \(O\) of the circle.
AP EAMCET 2020 Hard - Identify the correct statement from the following with respect to high density polytheneAP EAMCET 2023 Easy
- The work function of Cu is \(7.68 \times 10^{-19} \mathrm{~J}\). If photons of wavelength 221 nm are made to strike the surface of the metal, the kinetic energy (in J) of the ejected electrons will be \(\left(\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js}\right)\)AP EAMCET 2025 Medium
- If the letters of the word "CAPITAL" are permuted in all possible ways and the words are arranged in a dictionary order, then the rank of the word "CAPITAL" isAP EAMCET 2017 Medium
- An insulated cylindrical vessel filled with an insulated piston of negligible weight and negligible thickness at the mid point of the vessel. The cylinder contains a gas at \(0^{\circ} \mathrm{C}\). When the gas is heated to \(100^{\circ} \mathrm{C}\), the piston moves through a length of \(5 \mathrm{~cm}\). Length of the cylindrical vessel in \(\mathrm{cm}\) isAP EAMCET 2011 Hard
- The number of ways that 8 beads of different colours be strung as a necklace isAP EAMCET 2002 Easy