TS EAMCET · Maths · Differentiation
If \(\sqrt{\frac{y}{x}}+4 \sqrt{\frac{x}{y}}=4\), then \(\frac{d y}{d x}=\)
- A \(x y\)
- B \(x / y\)
- C \(-4\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
Given, \(\sqrt{\frac{y}{x}}+4 \sqrt{\frac{x}{y}}=4\) On squaring both sides, we get \(\begin{array}{rlrl} & & \frac{y}{x}+\frac{16 x}{y}+8 & =16 \Rightarrow \frac{y}{x}+16 \frac{x}{y}=8 \\ \Rightarrow & y^2+16 x^2 & =8 x y\end{array}\) On differentiating both sides w.r.t. \(x\),…
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 angle between the lines whose direction cosines satisfy the equations \(l+m+n=0\), \(l^2+m^2-n^2=0\) isTS EAMCET 2009 Easy
- The radius of the sphere \(x^2+y^2+z^2=12 x+4 y+3 z\) isTS EAMCET 2009 Easy
- The angle between the pair of straight lines formed by joining the points of intersection of \(x^2+y^2=4\) and \(y=3 x+c\) to the origin is a right angle. Then \(c^2\) is equal toTS EAMCET 2007 Hard
- If \(\vec{a}, \vec{b}\) are two vectors such that \(|\vec{a}|=3,|\vec{b}|=4,|\vec{a}+\vec{b}|=\sqrt{37},|\vec{a}-\vec{b}|=k\) and \((\vec{a}, \vec{b})=\theta\), then \(\frac{4}{13}(k \sin \theta)^2=\)TS EAMCET 2024 Medium
- If \(z_1, z_2\) are two complex numbers satisfying \(\left|\frac{z_1-3 z_2}{3-z_1 \bar{z}_2}\right|=1,\left|z_1\right| \neq 3\), then \(\left|z_2\right|\) is equal toTS EAMCET 2004 Medium
- If \(\sin y=\sin 3 t\) and \(x=\sin t\), then \(\frac{d y}{d x}=\)TS EAMCET 2023 Easy
More PYQs from TS EAMCET
- are non-coplanar vectors. If the position vector of the point of intersection of the line and the plane is thenTS EAMCET 2021 Medium
- An iron bar having a cross sectional area of \(2 \times 10^{-5} \mathrm{~m}^2\) and magnetising field of \(2400 \mathrm{~A} / \mathrm{m}\) produce a magnetic flux of \(2.4 \pi \times 10^{-5} \mathrm{~Wb}\). What will be the value of permeability \((\mu)\) and susceptibility \((\chi)\) of the bar (Given \(\left.\mu_0=4 \pi \times 10^{-7}\right)\)TS EAMCET 2022 Hard
- A square loop of length \(L\) is placed with its edges parallel to the \(X Y\)-axes. The loop is carrying the current \(I\). If the magnetic field in the region varies as \(\mathbf{B}=B_0\left(1+\frac{X y}{L^2}\right) \hat{\mathbf{k}}\), then the magnitude of the force on the loop will beTS EAMCET 2018 Medium
- The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and \(50 \mathrm{~cm}\) respectively, then the area of the table including error isTS EAMCET 2021 Easy
- Which of the following set of metals have strong tendency to form super oxides?TS EAMCET 2023 Easy
- If \(A(4,7,8), B(2,3,4)\) and \(C(2,5,7)\) are the vertices of \(\triangle A B C\), then the length of the internal bisector of the angle \(A\) isTS EAMCET 2020 Medium