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 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)) 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 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 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 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 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 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