Maths-
General
Easy

Question

The degree and order of the differential equation of all tangent lines to the parabola x2 = 4y is:

  1. 2,1
  2. 2,2
  3. 1,3
  4. 1,4

Hint:

In this question we have find the differential equation of the given function then we will get the order and degree.

The correct answer is: 2,1


    Given, x squared equals 4 y
    rightwards double arrow y equals x squared over 4
    d i f f e r n t i a t i n g comma space w e space g e t comma space
rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator 2 x over denominator 4 end fraction equals x over 2
a g a i n space d i f f e r e n t i a t i n g comma space w e space g e t comma
rightwards double arrow fraction numerator d squared y over denominator d x squared end fraction equals 1 half
t h e r e f o r e comma space o r d e r space i s space 2 space a n d space d g r e e space i s space 1.

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