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The differential equation representing t...

The differential equation representing the family of curves `y^2=2c(x+sqrt(c))` where `c gt 0` is a parameter, is of order and degree as follows: (A) order 1, degree 3 (B) order 2, degree 2 (C) order 1, degree 2 (D) order 1, degree 1

A

order 2

B

degree 2

C

degree 3

D

degree 4

Text Solution

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The correct Answer is:
C
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Each question contains statements given in two columns which have to be matched. Statements a,b,c,d in column I have to be matched with statements p,q,r,s in column II. If the correct matches are a-p, q-s, b-q, r c-p, q and d-s, then the correctly bubbled 4x4 matrix should be as follows: Figure Column I, Column II: Differential equation order 1, p.of all parabolas whose axis is the x-axis order 2, q.of family of curves y=a(x+a)^2, where a is an arbitrary constant degree 1, r. (1+3(dy)/(dx))^(2/3)=(4d^3y)/(dx^3) degree 3, s. of family of curve y^2=2c(x+sqrt(c)), where c >0

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