TS EAMCET · Maths · Differential Equations
If the order and degree of the differential equation corresponding to the family of curves \((x-2)^2+(y-a)^2=b^2\), (where \(a\) and \(b\) are parameters) are \(m\) and \(n\) respectively, then \(m^2+n=\)
- A 7
- B 5
- C 4
- D 3
Answer & Solution
Correct Answer
(B) 5
Step-by-step Solution
Detailed explanation
Given, \((x-2)^2+(y-a)^2=b^2\) On differentiating w.r.t. ‘x’ \(2(x-2)+2(y-a) y^{\prime}=0\) ...(i) Again differentiating w.r.t ‘x’ \(1+(y-a) y^{\prime \prime}+y^{\prime 2}=0\) ...(ii) From Eqs. (i) and (ii)…
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
- \(\frac{\cos x}{\cos (x-2 y)}=\lambda \Rightarrow \tan (x-y) \tan y\) is equal toTS EAMCET 2009 Medium
- \(\lim _{x \rightarrow 0} \frac{\left(2^x-1\right)(1+\sin x)^{\frac{2}{\sin x}}}{\log (1+2 x)}=\)TS EAMCET 2022 Medium
- If \(\alpha\) and \(\beta\) are the roots of \(x^2-2 x+4=0\), then the value of \(\alpha^6+\beta^6\) isTS EAMCET 2009 Medium
- \(\lim _{x \rightarrow 0^{-}} \frac{\sqrt{\frac{1}{2}\left(1-\cos ^2 x\right)}}{x}\) is equal toTS EAMCET 2021 Easy
- \(x^2+y^2+2 x-6 y-6=0\) and \(x^2+y^2-6 x-2 y+k=0\) are two intersecting circles and \(k\) is not an integer. If \(\theta\) is the angle between the two circles and \(\cos \theta=\frac{-5}{24}\), then \(k=\)TS EAMCET 2024 Medium
- If is the angle between the lines joining the origin to the points of intersection of the curve and the line thenTS EAMCET 2019 Easy
More PYQs from TS EAMCET
- In a photoelectric effect experiment, the kinetic energy of an emitted electron is \(1.986 \times 10^{-19} \mathrm{~J}\), when a radiation of frequency \(1.0 \times 10^{15} \mathrm{~s}^{-1}\) hits the metal. What is the threshold frequency of the metal \(\left(\right.\) in s \(\left.^{-1}\right)\) ? (Planck's constant \(=6.62 \times 10^{-34} \mathrm{~J} \mathrm{~s}\) )TS EAMCET 2018 Easy
- Match the following:
The correct answer isTS EAMCET 2023 Easy - Calculate the wavelength of the \(k_a\) line for \(z=31\), when \(a=5 \times 10^7 \mathrm{~Hz}^{1 / 2}\) for a characteristic X-ray spectrum.TS EAMCET 2011 Medium
- If the probability distribution of a random variable \({X}\) is given by
then the mean of \({X}\) isTS EAMCET 2022 Medium - A stone is thrown vertically up from the top end of a window of height 1.8 m with a velocity of \(8 \mathrm{~ms}^{-1}\). The time taken by the stone to cross the window during its downward journey is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )TS EAMCET 2024 Medium
-
Amine pK valine A. N,N-Dimethyl aniline I. 9.30 B. Aniline II. 8.92 C. N-Ethylethanamine III. 9.38 D. N-Methylaniline IV. 3.00 TS EAMCET 2024 Easy