AP EAMCET · Maths · Application of Derivatives
The side of an equilateral triangle is increasing at the rate of \(2 \mathrm{~cm} / \mathrm{s}\), then the rate at which the area is increasing when the side of the triangle is \(20 \mathrm{~cm}\) is
- A \(5 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}\)
- B \(10 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}\)
- C \(25 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}\)
- D \(20 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}\)
Answer & Solution
Correct Answer
(D) \(20 \sqrt{3} \mathrm{~cm}^2 / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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
- Area of the triangle formed by the complex numbers \(\mathrm{z}, \mathrm{iz}\) and \(\mathrm{z}+\mathrm{iz}\) in the Argand diagram as vertices isAP EAMCET 2022 Medium
- If \(0 < x < \frac{\pi}{2}\) then the maximum area (in sq. units) of the triangle whose vertices are \((0,0)\), \((x, \cos x)\) and \(\left(\sin ^3 x, 0\right)\) isAP EAMCET 2017 Hard
- If \(x\) and \(y\) are acute angles such that \(\cos x+\cos y=\frac{3}{2}\) and \(\sin x+\sin y=\frac{3}{4}\), then \(\sin (x+y)\) equals toAP EAMCET 2014 Medium
- If \(P=(2,-3,4), Q=(-1,-4,0), R=(2,1,0)\) are three points and \(S\) is the foot of the perpendicular drawn from \(\mathrm{R}\) to \(\mathrm{PQ}\), then the \(\mathrm{X}\)-coordinate of \(\mathrm{S}\) isAP EAMCET 2018 Medium
- The points \(\mathrm{A}(-1,2,3), \mathrm{B}(2,-3,1), \mathrm{C}(3,1,-2)\)AP EAMCET 2025 Medium
- If \(\lim _{x \rightarrow 0}\left\{1+x \log \left(1+a^2\right)\right\}^{1 / x}=2 a \sin ^2 \theta, a>0\) and \(\theta \in R\), thenAP EAMCET 2021 Medium
More PYQs from AP EAMCET
- A straight wire of resistance \(18 \Omega\) is bent in the form of an equilateral triangular loop. The effective resistance between any two vertices of the traingle isAP EAMCET 2025 Medium
- If \(\alpha, \beta, \gamma\) are the roots of \(x^3+p x^2+q x+r=0\), then the value of \(\left(1+\alpha^2\right)\left(1+\beta^2\right)\left(1+\gamma^2\right)\) isAP EAMCET 2017 Medium
- Nitrobenzene on reduction using zinc in alkaline medium results in \(X\). The number of \(\operatorname{sigma}(\sigma)\) and pi \((\pi)\) bonds in \(X\) isAP EAMCET 2011 Medium
- If \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{c}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}\) then the magnitude of the projection on \(\mathbf{c}\) of a unit vector that is perpendicular to both \(\mathbf{a}\) and \(\mathbf{b}\) isAP EAMCET 2019 Easy
- \(\int_1^2 \tan ^{-1}\left(\frac{x}{x^2+1}\right)+\tan ^{-1}\left(\frac{x^2+1}{x}\right) d x=\)AP EAMCET 2022 Medium
- If the lines, joining the origin to the points of intersection of the curve and the line , are at right angles, then equalsAP EAMCET 2021 Hard