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Questions  

 The equation of the common tangent to the curves y2=8x and xy=1 , is 

a
3y=9x+2
b
y=2x+1
c
2y=x+8
d
y=x+2

detailed solution

Correct option is D

General equation of tangent to the curve y2=8x is y=mx+2m ------(1) Now on solving it with xy=−1xmx+2m=−1 m2x2+2x+m=0  put discriminant =0 4-4m3=0⇒m=1 sub in(1) y=x+2

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