GATE | Quiz for Sudo GATE 2021 | Question 25
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
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mx2 + nx + c = mx2 - 2mpx + mp2
On comparing both sides, we get,
n = -2mp Or, p = -n/2m
c = mp2 c = m(-n/2m)2 c = m*n2/4m2 Or, n2 = 4mc
So, option (C) is correct.
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