to find the equation of the tangents that can be drawn from a given point to a given hyperbola in standard form

find the equation of the tangents from (1,2) to the hyperbola 2(x^2) -3(y^2) =6

 divide by the term on the rhs to reduce the given equation to standard form
extract the value of a and b
use the equation of the tangent to the hyperbola in standard form and use the values of a and b
use the condition that the tangent passes through the given point to form an equation in m and solve for m
and resubstitute

 
 

 
some questions in mathematics for the tamilnadu higher secondary 12th exam, isc ,  puc pre degree etc.
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