Number of points on hyperbola `(x ^(2))/(a ^(2)) - (y ^(2))/(b ^(2)) =1` from were mutually perpendicular tangents can be drawn to circel `x ^(2) + y ^(2)=a ^(2)` is

The points on the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 from where mutually perpendicular tangents can be drawn to circle x^(2) + y^(2) = a^(2)/2 is /are

The number of points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=3 from which mutually perpendicular tangents can be drawn to the circle x^(2)+y^(2)=a^(2) is/are 0 (b) 2 (c) 3 (d) 4

Find the points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))= 2 from which two perpendicular tangents can be drawn to the circle x^(2) + y^(2) = a^(2)

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a) 0 (b) 2 (c) 3 (d) 4

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a)0 (b) 2 (c) 3 (d) 4

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a) 0 (b) 2 (c) 3 (d) 4

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a)0 (b) 2 (c) 3 (d) 4

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a)0 (b) 2 (c) 3 (d) 4

Find the equations of the tangents to the hyperbola (x ^(2))/(a ^(2)) - (y ^(2))/( b ^(2)) = 1 are mutually perpendicular, show that the locus of P is the circle x ^(2) + y ^(2) =a ^(2) -b ^(2).