A tangent drawn to hyperbola `x^2/a^2-y^2/b^2 = 1` at `P(pi/6)` froms a triangle of area `3a^2` square units, with the coordinate axes, then the square of its eccentricity is (A) `15` (B) `24` (C) `17` (D) `14`

A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a triangle of area a^2 square units, with the coordinate axes, then the square of its eccentricity is (A) 15 (B) 24 (C) 17 (D) 14

A tangent drawn to hyperbola (x^(2))/( a^(2)) -(y^(2))/( b^(2)) =1 at P((pi )/( 6)) forms a triangle of area 3a^(2) square units , with coordinates axes, then the square of its eccentricity is

A tangent drawn to hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) =1 at P((pi)/(6)) forms a triangle of area 3a^(2) square units, with coordinate axes, then the squae of its eccentricity is equal to

A tangent drawn to hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) =1 at P((pi)/(6)) forms a triangle of area 3a^(2) square units, with coordinate axes, then the squae of its eccentricity is equal to

A tangent drawn to the hyperbola (x^2)/(a^2) - (y^2)/(b^2) = 1 at P(a "sec" pi/6, b tan pi/6) form a triangle of area 3a^2 sq. units with the coordinate axes. The eccentricity of the conjugate hyperbola of (x^2)/(a^2) - (y^2)/(b^2) = 1 is

The asymptote of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 form with any tangent to the hyperbola a triangle whose area is a^2 tanlambda in magnitude, then its eccentricity is

Consider the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 . Area of the triangle formed by the asymptotes and the tangent drawn to it at (a, 0) is

Consider the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 . Area of the triangle formed by the asymptotes and the tangent drawn to it at (a, 0) is