(a) The circle x^2+y^2-8 x+0 and hyperbola x^2/9-y^2/4=1 intersect at the points A and B. (i) Equ...

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(a) The circle x^2+y^2-8 x+0 and hyperbola x^2/9-y^2/4=1 intersect at the points A and B.
(i) Equation of a common tangent with positive slope to the circle as well as to the hyperbola is
(A) 2 x-โˆš(5) y-20=0
(B) 2 x-โˆš(5) y+4=0
(C) 3 x-4 y+8=0
(D) 4 x-3 y+4=0
(ii) Equation of the circle with AB as its diameter is
(A) x^2+y^2-12 x+24=0
(B) x^2+y^2+12 x+24=0
(C) x^2+y^2+24 x-12=0
(D) x^2+y^2-24 x-12=0
(b) The line 2 x+y=1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. If this line passes through the point of intersection of the nearest directrix and the x-axis, then the eccentricity of the hyperbola, is

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