Home
Class 12
MATHS
The differential equation of all parabol...

The differential equation of all parabolas whose axis of symmetry is along X-axis is of order.

A

`y (d^(2)y)/(dx^(2)) +((dy)/(dx))^(2)=0`

B

`x (d^(2)x)/(dy^(2))+((dx)/dy)^(2)=0`

C

`y (d^(2)y)/(dx^(2))+(dy)/(dx)=0`

D

`y (d^(2)x)/(dy^(2))+(dx)/(dy)=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Statement I Order of differential equation of family of parabola whose axis is parallel to y-axis and latusrectum is fixed is 2. Statement II Order of first equation is same as actual number of arbitary constant present in differential equation.

The differential equation of all conics whose axes coincide with the coordinate axes, is

Find the differential equation of all parabolas having their vertices at the origin and foci on x-axis.

Find the differential equation of all circles in a plane is order 3.

Find the equation of line parallel to x-axis

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

Statement I The order of differential equation of all conics whose centre lies at origin is , 2. Statement II The order of differential equation is same as number of arbitary unknowns in the given curve.

Form the differential equation of the family of hyperbolas having foci on x-axis and centre at origin.