@santosh
83.
Let us assume tangent be y=mx + b
General equation of tangent to parabola is, y = mx + a/m
Also, general equation of tangent to rectangular hyperbola on parametric point (ct,c/t) is,
For common tangent,
Also,
Squaring both sides and substituting value of m as
Substituting value of c= 2 and a = 1/2,
=> m = -1/4
So equation of line is y = -x/4 - 2 which gives x+4y+8=0
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