For all real values of ` m`, the straight line `y=mx +sqrt(9m^2-4)` is a tangent to the curve :

For all real values of m, the straight line y=mx+sqrt(9m^(2)-4) is a tangent to which of the following certain hyperbolas? (a) 9x^(2)+4y^(2)=36 (b) 4x^(2)+9y^(2)=36 (c) 9x^(2)-4y^(2)=36 (d) 4x^(2)-9y^(2)=36

For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a tangent to which of the following certain hyperbolas? (a) 9x^2+4y^2=36 (b) 4x^2+9y^2=36 (c) 9x^2-4y^2=36 (d) 4x^2-9y^2=36

For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a tangent to which of the following certain hyperbolas? (a) 9x^2+4y^2=36 (b) 4x^2+9y^2=36 (c) 9x^2-4y^2=36 (d) 4x^2-9y^2=36

For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a tangent to which of the following certain hyperbolas? (a) 9x^2+4y^2=36 (b) 4x^2+9y^2=36 (c) 9x^2-4y^2=36 (d) 4x^2-9y^2=36

The line y = mx + sqrt( 4 + 4m^(2)), m in R , is a tangent to the circle

The line y = mx + sqrt( 4 + 4m^(2)), m in R , is a tangent to the circle

If m_(1) and m_(2) are two values of m for which the line y = mx+ 2sqrt(5) is a tangent to the hyperbola (x^(2))/(4)-(y^(2))/(16)=1 then the value of |m_(1)+(1)/(m_(2))| is equal to