Maths-
General
Easy

Question

The differential equation of all non-horizontal lines in a plane is :

  1. fraction numerator d y over denominator d x end fraction equals 0
  2. fraction numerator d x over denominator d y end fraction equals 0
  3. fraction numerator d squared y over denominator d x squared end fraction equals 0
  4. fraction numerator d squared x over denominator d y squared end fraction equals 0

hintHint:

In this question, we have to find the differentia equation of the horizontal lines in a plane. For that first we will find the equation of the line and later differentiate it twice to get the required differential equation.

The correct answer is: fraction numerator d squared x over denominator d y squared end fraction equals 0


    T h e space g e n e r a l space e q u a t i o n space o f space a l l space h o r i z o n t a l space l i n e s space a r e space x equals m y plus c
x equals m y plus c
D i f f e r e n t i a t i n g space w. r. t. space y comma space w e space g e t colon
rightwards double arrow fraction numerator d x over denominator d y end fraction equals m
A g a i n comma space d i f f e r e n t i a t i n g space w. r. t. space x comma space w e space g e t colon
rightwards double arrow fraction numerator d x squared over denominator d squared y end fraction equals 0
S o comma space t h e space r e q u i r e d space d i f f e r e n t i a l space e q u a t i o n space i s space fraction numerator d x squared over denominator d squared y end fraction equals 0.

    Related Questions to study

    General
    Maths-

    The differential equation of all non-vertical lines in a plane is :

    The differential equation of all non-vertical lines in a plane is :

    Maths-General
    General
    Maths-

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

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

    Maths-General
    General
    Maths-

    If the algebraic sum of distances of points (2, 1) (3, 2) and (­-4, 7) from the line y = mx + c is zero, then this line will always pass through a fixed point whose coordinate is

     

    If the algebraic sum of distances of points (2, 1) (3, 2) and (­-4, 7) from the line y = mx + c is zero, then this line will always pass through a fixed point whose coordinate is

     

    Maths-General
    parallel
    General
    Maths-

    A particle moves in a straight line with velocity given by fraction numerator d x over denominator d t end fraction equals x plus 1 (x being the distance described). The time taken by the particle to describe 99 meters is:

    A particle moves in a straight line with velocity given by fraction numerator d x over denominator d t end fraction equals x plus 1 (x being the distance described). The time taken by the particle to describe 99 meters is:

    Maths-General
    General
    Maths-

    Integral curve satisfying y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction comma y left parenthesis 1 right parenthesis equals 1 has the slope at the point (1, 0) of the curve, equal to :

    Integral curve satisfying y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction comma y left parenthesis 1 right parenthesis equals 1 has the slope at the point (1, 0) of the curve, equal to :

    Maths-General
    General
    Maths-

    If integrating factor of x open parentheses 1 minus x squared close parentheses d y plus open parentheses 2 x squared y minus y minus a x cubed close parentheses d x is e to the power of JPdx then P is

    If integrating factor of x open parentheses 1 minus x squared close parentheses d y plus open parentheses 2 x squared y minus y minus a x cubed close parentheses d x is e to the power of JPdx then P is

    Maths-General
    parallel
    General
    physics-

    Cathode rays are made to pass between the poles of a magnet as shown in figure The effect of magnetic field is

    Cathode rays are made to pass between the poles of a magnet as shown in figure The effect of magnetic field is

    physics-General
    General
    physics-

    A neutron, a proton, an electron and an alpha particle enter a region of constant magnetic field with equal velocities The magnetic field is along the inward normal to the plane of the paper The tracks of the particles are labled in the figure The electron follows ____ track and alpha particle follows track ______

    A neutron, a proton, an electron and an alpha particle enter a region of constant magnetic field with equal velocities The magnetic field is along the inward normal to the plane of the paper The tracks of the particles are labled in the figure The electron follows ____ track and alpha particle follows track ______

    physics-General
    General
    physics-

    A graph regarding photoeletric effect is shown between the maximum kinetic energy of electrons and the frequency of the incident light On the basis of data as shown in the graph, calculate the work function

    A graph regarding photoeletric effect is shown between the maximum kinetic energy of electrons and the frequency of the incident light On the basis of data as shown in the graph, calculate the work function

    physics-General
    parallel
    General
    physics-

    The graph between the stopiing potential open parentheses V subscript 0 end subscript close parenthesesand left parenthesis 1 divided by lambda right parenthesis is shown in figure, ϕ subscript 1 end subscript comma ϕ subscript 2 end subscriptand ϕ subscript 3 end subscript are work functions Which of the following is

    The graph between the stopiing potential open parentheses V subscript 0 end subscript close parenthesesand left parenthesis 1 divided by lambda right parenthesis is shown in figure, ϕ subscript 1 end subscript comma ϕ subscript 2 end subscriptand ϕ subscript 3 end subscript are work functions Which of the following is

    physics-General
    General
    Maths-

    The equation of circle which touches the line 5x + 12 y =1 and which has its centre at (3, 4) is:

    The equation of circle which touches the line 5x + 12 y =1 and which has its centre at (3, 4) is:

    Maths-General
    General
    physics-

    1.
    2.
    3.
    4.
    Identify the wrong description of the above figures

    1.
    2.
    3.
    4.
    Identify the wrong description of the above figures

    physics-General
    parallel
    General
    physics-

    Match the List I with the List II from the combinations shown

    Match the List I with the List II from the combinations shown

    physics-General
    General
    physics-

    The resolving limit of healthy eye is about

    The resolving limit of healthy eye is about

    physics-General
    General
    physics-

    A person is suffering from myopic defect. He is able to see clear objects placed at 15 cm. What type and of what focal length of lens he should use to see clearly the object placed 60 cm away

    A person is suffering from myopic defect. He is able to see clear objects placed at 15 cm. What type and of what focal length of lens he should use to see clearly the object placed 60 cm away

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.