TS EAMCET · Maths · Application of Derivatives
The equation of tangent to the curve \(\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2\) at the point \((a, b)\) is
- A \(\frac{x}{a}=-\frac{y}{b}\)
- B \(\frac{x}{a}+\frac{y}{b}=2\)
- C \(\frac{x}{a}=\frac{y}{b}\)
- D \(\frac{x}{a}+\frac{y}{b}=n\)
Answer & Solution
Correct Answer
(B) \(\frac{x}{a}+\frac{y}{b}=2\)
Step-by-step Solution
Detailed explanation
We have, \[ \left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2 \] On differentiating w.r.t. \(x\), we get…
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 \(f(x)=\frac{2 x-3}{(x-2)(x-3)}\) is a real valued function then the value that \(f(x)\) does not take isTS EAMCET 2022 Hard
- The order and degree of the differential equation \(\frac{d^2 y}{d x^2}+y+\left(\frac{d y}{d x}-\frac{d^3 y}{d x^3}\right)^{3 / 2}=0\), are respectively.TS EAMCET 2020 Easy
- The height (in cm) of a cylinder of the greatest volume that can be inscribed in a sphere of radius , isTS EAMCET 2018 Easy
- If \(f(x)=k x^3-3 x^2-12 x+8\) is strictly decreasing for all \(x \in \mathbf{R}\) thenTS EAMCET 2024 Medium
- If \(\bar{a}=\hat{i}-2 \hat{j}+2 \hat{k}\) and \(\bar{b}=2 \hat{i}-3 \hat{j}+\hat{k}\), then the component of \(\bar{b}\) perpendicular to \(\bar{a}\) isTS EAMCET 2022 Easy
- A non-zero integer is selected randomly from the set of integers The probability that isTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- A block of mass \(5 \mathrm{~kg}\) is pulled by a force \(F\) as shown in the figure. If the coefficient of friction is 0.1 , then the force needed to accelerate the block to \(3 \mathrm{~m} / \mathrm{s}^2\) to the right is close to
TS EAMCET 2018 Easy - If \(P \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\) and \(4 \hat{\mathbf{i}}+13 \hat{\mathbf{j}}-18 \hat{\mathbf{k}}\) are the position vectors of three collinear points \(A, B\) and \(C\) respectively, then the vector in the direction of \(\mathbf{A B}\) of length \(|P|\) units isTS EAMCET 2021 Easy
- In an interference pattern of Young's double slit experiment, at a point we observe the \(12^{\text {th }}\) order maximum for a monochromatic light source with wavelength \(6000 Å\). What order will be visible here if the source is replaced by a light of wavelength \(4800 Å\) ?TS EAMCET 2022 Medium
- Bag contains red and black balls. Bag II contains red and black balls. If one ball is drawn at random from one of the bags, and it is found to be red, then the probability that it was drawn from Bag , isTS EAMCET 2019 Easy
- A body of mass \(m\) rises to height \(h=R / 5\) from the earth's surface, where \(R\) is earth's radius. If \(g\) is acceleration due to gravity at earth's surface, the increase in potential energy isTS EAMCET 2023 Easy
- The role of copper diaphragm in Whytlaw-Gray's method isTS EAMCET 2013 Medium