The equation of the common tangent to the curves y2 = 8x and xy = - 1 is
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Correct option is (d) y=x+2
Explaination::
tangents to the curve y2=8x is y=mx+2/m , so it must satisfy xy=-1
x(mx+2m)=−1
mx2+2mx+1=0,
since it has equal roots , therefore D=0
4m2−4m=0
m3=1
m=1
therefore , the equation of commom tangent is y=x+2
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