COMEDK · Maths · 32. Differential Equations
The differential equation of all non-vertical lines in a plane is
- A \(\frac{d^2 y}{d x^2}=0\)
- B \(\frac{d^2 x}{d y^2}=0\)
- C \(\frac{d y}{d x}=0\)
- D \(\frac{d x}{d y}=0\)
Answer & Solution
Correct Answer
(A) \(\frac{d^2 y}{d x^2}=0\)
Step-by-step Solution
Detailed explanation
The general equation of all non-vertical lines in a plane is \(a x+b y=1\), where \(b \neq 0\). On differentiating both sides w.r.t. \(x\), we get \(a+b \frac{d y}{d x}=0\) Again, 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
- The feasible region represented by the constraints:
\(x + 2y \leq 120\);
\(x + y \geq 60\);
\(x - 2y \geq 0\);
\(x \geq 0\) and \(y \geq 0\)COMEDK 2026 Easy - Le \(x\) be the arithmetic mean and \(y, z\) be the two geometric means between any two positive numbers, then \(\dfrac{y^3+z^3}{x y z}=\) -----------COMEDK 2023 Medium
- \(\int \sqrt{2ax - x^2}\ dx =\)COMEDK 2026 Medium
- If \(A=\{1,2,3,4\}\), then which one of the following is reflexive?COMEDK 2014 Easy
- \(\sin \left(2 \sin ^{-1} \sqrt{\frac{63}{65}}\right)\) is equal toCOMEDK 2019 Easy
- Find the point on the curve \(y=x^{2}\), where the slope of the tangent is equal to the \(x\) coordinate of the point.COMEDK 2017 Easy
More PYQs from COMEDK
- The general solution of the differential equation \(\left(\frac{d y}{d x}\right)+y \cdot g^{\prime}(x)=g(x) \cdot g^{i}(x)\), where \(g(x)\) is a given function of \(x\) isCOMEDK 2015 Medium
- Vector \(A\) has a magnitude of 10 units and makes an angle of \(30^{\circ}\) with the positive \(X\)-axis. Vector \(B\) has a magnitude of 20 units and makes an angle of \(30^{\circ}\) with the negative \(X\)-axis. What is the magnitude of the resultant between these two vectors?COMEDK 2015 Medium
- Given below are 4 subatomic particles travelling with the same velocity "v". Which of them will have the shortest wavelength?
\([A]=\text { Proton }[B]=\text { Neutron. }[C]=\text { Alpha particle. }[D]=\text { Electron. }\)COMEDK 2024 Easy - If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are \(p, q\) and \(s\) respectively, then the corresponding ratio of increase in their lengths would be
COMEDK 2013 Easy - A gaseous mixture consists of \(16 \mathrm{~g}\) of helium and \(16 \mathrm{~g}\) of oxygen. The ratio \(C_{p} / C_{V}\) of the mixture isCOMEDK 2020 Easy
- The photographic industry relies on the special light sensitive properties ofCOMEDK 2014 Easy