Maths-
General
Easy

Question

The differential equation of all non-vertical 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 differential equation of all non-vertical lines in a plane. First we will find the equation and later differentiate it twice to find the required differential equation.

The correct answer is: fraction numerator d squared y over denominator d x 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 n o n minus v e r t i c a l space l i n e s space i s space a x plus b y equals 1
a x plus b y equals 1
rightwards double arrow b y equals 1 minus a x
rightwards double arrow y equals 1 over b minus fraction numerator a x over denominator b end fraction
d i f f e r e n t i a t i n g space b o t h space s i d e s comma space w e space g e t colon
rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator negative a over denominator b end fraction
A g a i n comma space d i f f e r e n t i a t i n g space comma space w e space g e t colon
rightwards double arrow fraction numerator d squared y over denominator d x squared end fraction equals 0

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