1for hyperbola itz
(a^2m^2-b^2)^/2
cheero~
What is common tangent,(if any) for the curves y2 =8x and x2/4 +y2/9 =1? How do u approach such problems in general?
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5 Answers
1general tanegnt to y=4ax
is
y=mx+a/m
m is d slope
general tangent to
ellipse is
y=mx +(a^2 m^2 +b^2)^1/2
nw
c=a/m=(a^2m^2+b^2)^1/2
equating tehm u get m nw u get ur equation
cheers~
11take the derivative of both the curves
let 4 the first curve the parameter be (2t2,4t)
then u have to write the equation of the cure like
y-4t=2/t(x-2t2)
then u have to find the equation of the tangent of the 2nd curve
take a point (2 cosθ,3sinθ)
then write the equation
y-3sinθ=-3/2cotθ(x-2cosθ)
now equate the equation of both the curves to get ur point
this is the application of derivative approach
u can use the formulas also to get the answe
but i dunno rememberr