TS EAMCET · Maths · Application of Derivatives
A ladder of length \(13 \mathrm{mts}\) has one end resting against a vertical wall and the other on the ground. If the lower end moves away from the wall at a speed of \(2 \mathrm{mts} /\) minute, then the speed (in \(\mathrm{mts} / \mathrm{min}\) ) at which upper end falls when the bottom is \(5 \mathrm{mts}\) away from the wall is
- A \(\frac{6}{5}\)
- B \(\frac{12}{5}\)
- C \(\frac{5}{6}\)
- D \(\frac{5}{12}\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{6}\)
Step-by-step Solution
Detailed explanation
\(\frac{d x}{d t}=2 \Rightarrow x^2+y^2=169\) \(\begin{aligned} & 2 x \frac{d x}{d t}+2 y \frac{d y}{d t}=0 \\ & \Rightarrow 2 x(2)+2 y\left(\frac{d y}{d t}\right)=0\end{aligned}\) when \(x=5, y=12\)…
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
- If \(f(x)=\left(x^2-1\right)^7\), then \(f^{(14)}(x)\) is equal toTS EAMCET 2012 Medium
- Six faces of an unbiased die are numbered with \(2,3,5,7,11\) and 13 . If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number isTS EAMCET 2004 Medium
- For scalars \(\lambda, \mu\) if the vector equation of a plane is \(\mathbf{r}=(2+3 \lambda-\mu) \hat{\mathbf{i}}+(1-2 \lambda+3 \mu) \hat{\mathbf{j}}+(-2+2 \lambda+\mu) \hat{\mathbf{k}}\), then its Cartesian equation isTS EAMCET 2020 Easy
- A function \(f: R-\{0\} \rightarrow R\) is defined as \(f(x)=\left\{\begin{array}{cc}x^2+3 x-7, & x>0 \ h(x), & x < 0\end{array}\right.\) If \(f(x)\) is an odd function, then \(h(x)=\)TS EAMCET 2018 Easy
- \(\lim _{x \rightarrow 1} \frac{(2 x-3)(\sqrt{x}-1)}{2 x^2+x-3}=\)TS EAMCET 2023 Easy
- The number of integral values of \(k\) for which the equation \(7 \cos x+5 \sin x=2 k+1\) has a solution, isTS EAMCET 2019 Easy
More PYQs from TS EAMCET
- Which one of the following statements is correct?TS EAMCET 2002 Medium
- 1. The focal lengths of the objective and the eyepiece of a compound microscope are \(2 \mathrm{~cm}\) and \(3 \mathrm{~cm}\) respectively and the distance between them is \(15 \mathrm{~cm}\). The final image formed by the eyepiece is at infinity. The distances of the object and the image produced by the object from the objective lens are respectivelyTS EAMCET 2023 Easy
- If the locus of a point which divides a chord with slope 2 of the parabola \(y^2=4 x\), internally in the ratio \(1: 3\) is a parabola, then its vertex isTS EAMCET 2019 Medium
- In the following reaction ' \(\mathrm{C}\) ' is an aromatic compound having substituents \(D \& E\). What are \(D \& E\) ?
TS EAMCET 2023 Hard - In the meter bridge experiment, the length \(A B\) of the wire is \(1 \mathrm{~m}\). The resistors \(X\) and \(Y\) have values \(5 \Omega\) and \(2 \Omega\) respectively. When a shunt resistance \(S\) is connected to \(X\), the balancing point is found to be \(0.625 \mathrm{~m}\) from \(A\). Then, the resistance of the shunt is
TS EAMCET 2013 Medium - If \(y=e^x(\log x)\), then \(x y_2+(x-1) y=\)TS EAMCET 2018 Hard