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GATE | Quiz for Sudo GATE 2021 | Question 25
  • Last Updated : 16 Dec, 2020

If mx2 + nx + c = m(x – p)2 then the relation between m, n, c is:

Note – This question is multiple select questions (MSQ).
(A) mnc = 1
(B) n2 = mc
(C) n2 = 4mc
(D) 2n = m + c


Answer: (C)

Explanation: Given,

mx2 + nx + c = mx2 - 2mpx + mp2 

On comparing both sides, we get,

n = -2mp
Or,
 p = -n/2m 

And,

c = mp2 
c = m(-n/2m)2
c = m*n2/4m2
Or,
n2 = 4mc 

So, option (C) is correct.

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