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1)

The equation  of tangent  to the hyperbola 3x2-2y2=6 , which is perpendicular  to the line x-3y=3, are 

 


A) y=3x±15

B) y=3x±6

C) y=3x±6

D) y=2x±15

Answer:

Option A

Explanation:

Equation of hyperbola is 

 3x2-2y2=6

      x22y23=1

So, a2 =2   and b2=3

 Given,  equation of line is x-3y=3

  Slope of given line = 13

   Slope of line  perpendicular to given line, m=-3

 The equation of tangents are

y=mx±a2m2b2

 =3x±2×93

=3x±183

 =3x±15