AP EAMCET · Maths · Application of Derivatives
If the normal to the curve \(y=x+\frac{2}{x}\) at the point where abscissa is 2 , meets the coordinate axes in points \(A \& B\), find the length of \(A B\).
- A \(\frac{2}{\sqrt{5}}\)
- B \(\frac{7}{2}\)
- C \(\frac{7 \sqrt{5}}{2}\)
- D \(\frac{3 \sqrt{5}}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{7 \sqrt{5}}{2}\)
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
- \(\int \sqrt{x-1}(x \sqrt{x+1})^{-1} d x=\)AP EAMCET 2020 Hard
- If \(a=\cos \left(\frac{8 \pi}{11}\right)+i \sin \left(\frac{8 \pi}{11}\right)\), then \(\operatorname{Re}\left(a+a^2+a^3+a^4+a^5\right)=\)AP EAMCET 2018 Hard
- The solution of the equation \([\sin x+\cos x]^{1+\sin 2 x}=2\), where \(-\pi \leq x \leq \pi\) isAP EAMCET 2021 Medium
- If \(\alpha_1, \alpha_2, \alpha_3, \alpha_4, \alpha_5\) are the roots of \(x^5-5 x^4+9 x^3-9 x^2\) \(+5 x-1=0\) then \(\frac{1}{\alpha_1^2}+\frac{1}{\alpha_2^2}+\frac{1}{\alpha_3^2}+\frac{1}{\alpha_4^2}+\frac{1}{\alpha_5^2}=\)AP EAMCET 2024 Hard
- Which of the following equations gives a circle?AP EAMCET 2005 Medium
- The value of \(k\), if \((1,2),(k,-1)\) are conjugate points with respect to the ellipse \(2 x^2+3 y^2=6\) isAP EAMCET 2007 Hard
More PYQs from AP EAMCET
- A body is projected into vertical \(\mathrm{X}\)-Y plane with \(\mathrm{X}\)-axis along horizontal and Y-axis along vertical with an initial velocity \((10 \hat{i}+p \hat{j})\). If the maximum height reached by the body is \(50 \%\) of its range, then the value of \(\mathrm{p}\) isAP EAMCET 2017 Medium
- A wire of resistance \(100 \Omega\) is stretched so that its length increases by \(20 \%\). The stretched wire is then bent in the form of a rectangle whose length and breadth are in the ratio \(3: 2\). The effective resistance between the ends of any diagonal of the rectangle isAP EAMCET 2025 Medium
- The maximum and minimum values of the function defined by
for all are respectivelyAP EAMCET 2018 Medium - If \(f(x)\) is a polynomial of degree \(n\) with rational coefficients and \(1+2 i, 2-\sqrt{3}\) and 5 are three roots of \(f(x)=0\), then the least value of \(n\) isAP EAMCET 2004 Hard
- A circle is such that \((x-2) \cos \theta+(y-2) \sin \theta=1\) touches it for all values of \(\theta\). Then, the circle isAP EAMCET 2022 Easy
- The displacement of a particle of mass 2 g executing simple harmonic motion is \(x=8 \cos \left(50 t+\frac{\pi}{12}\right) m\), where \(t\) is time in second. The maximum kinetic energy of the particle isAP EAMCET 2024 Easy