The differential equation of the family of lines having $x$-intercept $a$ and $y$-intercept $b$ is

  • A
    $\frac{d^{2} y}{d x^{2}}=-1$
  • B
    $\frac{d^{2} y}{d x^{2}}=10$
  • C
    $\frac{d^{2} y}{d x^{2}}=1$
  • D
    $\frac{d^{2} y}{d x^{2}}=0$

Explore More

Similar Questions

The differential equation corresponding to the family of curves $y=e^x(A \cos x+B \sin x)$ is

The differential equation of $3y = \sqrt[3]{x} + c$ is

The equation of any member of the family of all the ellipses whose axes are along the coordinate axes satisfies the differential equation

Statement $I$: The differential equation corresponding to the family of circles having their centres on $Y$-axis and fixed radius $k$ is $(x^2-k^2)(\frac{dy}{dx})^2+x^2=0$.
Statement $II$: The differential equation corresponding to the family of circles passing through the origin and having their centres on $X$-axis is $x^2-y^2+2xy \frac{dy}{dx}=0$.
Which of the above statements is (are) true?

The differential equation of all the ellipses centered at the origin and having axes as the coordinate axes is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo