AP EAMCET · Maths · Functions
If \(\quad f: R \rightarrow R \quad\) is defined by \(f(x)=7+\cos (5 x+3)\) for \(x \in R\), then the period of \(f\) is
- A \(2 \pi\)
- B \(\pi\)
- C \(\frac{\pi}{5}\)
- D \(\frac{2 \pi}{5}\)
Answer & Solution
Correct Answer
(D) \(\frac{2 \pi}{5}\)
Step-by-step Solution
Detailed explanation
Since, period of \(\cos (5 x+3)=\frac{2 \pi}{5}\) \(\therefore\) Period of \(f(x)\) is also \(\frac{2 \pi}{5}\).
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
- The perimeter of the locus of the point \(P\) which divides the line segment \(\overrightarrow{Q A}\) internally in the ratio \(1: 2\), where \(A=(4,4)\) and \(Q\) lies on the circle \(x^2+y^2=9\) isAP EAMCET 2024 Easy
- If \((4,7)\) and \((-2,-1)\) are ends of a diameter of a circle which intersects \(X\)-axis at \(A\) and \(B\), then \(A B\) is equal toAP EAMCET 2021 Medium
- \(\sum_{k=1}^5 \frac{1^3+2^3+\ldots+k^3}{1+3+5+\ldots+(2 k-1)}\) is equal toAP EAMCET 2004 Hard
- Foci of the ellipse \(2 x^2+3 y^2-4 x-12 y+13=0\) areAP EAMCET 2020 Easy
- The equation of the line passing through the point of intersection of the lines \(x-3 y+2=0\) and \(2 x+5 y-7=0\) and perpendicular to the line \(3 x+2 y+5=0\) is :AP EAMCET 2006 Easy
- If the plane \(56 x+4 y+9 z=2016\) meets the coordinate axes in \(A, B\) and \(C\), then the centroid of the \(\triangle A B C\) isAP EAMCET 2023 Medium
More PYQs from AP EAMCET
- What are \(X, Y\) and \(Z\) in the following reactions?
\[
\begin{aligned}
& \mathrm{CaCO}_3 \stackrel{\Delta}{\rightleftharpoons} \mathrm{CO}_2+X \\
& X+\mathrm{H}_2 \mathrm{O} \longrightarrow Y \\
& Y+\mathrm{Cl}_2 \longrightarrow Z \\
& X \quad Y \quad Z
\end{aligned}
\]AP EAMCET 2018 Easy - If the tangent drawn to the parabola \(y^2=4 x\) at \(\left(t^2, 2 t\right)\) is the normal to the ellipse \(4 x^2+5 y^2=20\) at \((\sqrt{5} \cos \theta, 2 \sin \theta)\), thenAP EAMCET 2019 Medium
- \(50 \mathrm{~g}\) of a substance is dissolved in \(1 \mathrm{~kg}\) of water at \(+90^{\circ} \mathrm{C}\). The temperature is reduced to \(+10^{\circ} \mathrm{C}\). The density is increased from 1.1 to \(1.15 \mathrm{~g} \mathrm{cc}^{-1}\). What is the \(\%\) change of molarity of the solution?AP EAMCET 2022 Medium
- Which of the following statement is correct for fcc lattice?AP EAMCET 2022 Hard
- A uniform chain of mass and length is lying on a smooth horizontal table, with half of its length hanging down. The work done is pulling the entire chain up the table isAP EAMCET 2020 Hard
- If \(x=-5+2 \sqrt{-4}\), then the value of \(x^4+9 x^3+35 x^2-x+4\) isAP EAMCET 2022 Medium