KCET · Maths · Binomial Theorem
The order of differential equation of all circles of given radius ' \( a \) ' is
- A \( 04 \)
- B \( 12 \)
- C \( 11 \)
- D \( 13 \)
Answer & Solution
Correct Answer
(B) \( 12 \)
Step-by-step Solution
Detailed explanation
The standard equation of a circle is
\[
(x-b)^{2}+(y-k)=a^{2}
\]
There are two arbitrary constants.
So, the order of the differential equation is equal to number of arbitrary constants.
Therefore, order \( =2 \)
\[
(x-b)^{2}+(y-k)=a^{2}
\]
There are two arbitrary constants.
So, the order of the differential equation is equal to number of arbitrary constants.
Therefore, order \( =2 \)
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
- A box contains \( 6 \) red marbles numbers from \( 1 \) through \( 6 \) and \( 4 \) white marbles \( 12 \) through \( 15 . \)
Find the probability that a marble drawn 'at random' is white and odd numbered.KCET 2015 Easy - The shaded region shown in fig. is given by the inequation
KCET 2015 Hard - The length of the chord joining the points \((4 \cos \theta, 4 \sin \theta)\) and \(\left(4 \cos \left(\theta+60^{\circ}\right)\right.\), \(\left.4 \sin \left(\theta+60^{\circ}\right)\right)\) of the circle \(x^{2}+y^{2}=16\) isKCET 2009 Medium
- The function \(f(x)=\frac{\log (1+a x)-\log (1-b x)}{x}\) is not defined at \(\mathrm{x}=0\). The value which should be assigned to \(\mathrm{f}\) at \(\mathrm{x}=0\) so that it is continuous at \(\mathrm{x}=0\) isKCET 2009 Easy
- The length of the subtangent to the curve \(x^{2} y^{2}=a^{4}\) at \((-a, a)\) isKCET 2007 Hard
- Which of the following statements is not correct?KCET 2025 Easy
More PYQs from KCET
- Net primary productivity (NPP) in an ecosystem isKCET 2019 Hard
- Match the column-I with column-II and choose the correct option from the following:
Column I (Plant groups) Column II (Examples) 1. Bryophyta p. Pinus 2 Gymnosperm q. Adiantum 3. Algae r. Sphagnum 4. Pteridophyta s. Ectocarpus KCET 2023 Hard - The correct statement regarding defects in solid isKCET 2021 Easy
- The \(n\)th term of the series \(1+3+7+13+21+\ldots \ldots\) is 9901 . The value of \(\mathrm{n}\) isKCET 2010 Medium
- \(2 \mathrm{HI}(\mathrm{g}) \rightleftharpoons \mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g})\)
The equilibrium constant of the above reaction is \(6.4\) at \(300 \mathrm{~K}\). If \(0.25\) mole each of \(\mathrm{H}_{2}\) and \(\mathrm{I}_{2}\) are added to the system, the equilibrium constant will beKCET 2009 Medium - For an ideal binary liquid mixtureKCET 2014 Medium