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Q.

Given that m,n,s,t(0,),m+n=3,   ms+nt=1,m,n  are constants and m<n. If the minimum value of s+t is  3+22 , point (m,n) is the mid point of a chord of the ellipse  x24+y216=1, The equation of the line where the chord lies is

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a

x+y3=0

b

x2y+3=0

c

2x+y4=0

d

4x+2y3=0

answer is C.

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Detailed Solution

ms=sin2θ,nt=cos2θ,mn=2,m+n=3

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