The values of m for which the lines y ...

The values of m for which the lines y = mx + ` 2 sqrt5` touches the hyperbola ` 16 x^(2) - 9y^(2) = 144` are the roots of ` x^(2) - (a+b) x-4 = 0 ` then the value of (a+b) is

Similar Questions

Explore conceptually related problems

The vertices of the hyperbola 9x^2 - 16y^2 = 144

Find the value of c if y = x + c is a tangent to the hyperbola 9x^(2) -16y^(2) = 144

The value of m, for wnich the line y=mx + 25sqrt3/3 is a normal to the conic x^2 /16 - y^2 / 9 =1 , IS

Prove that the line 5x+12y=9 touches the hyperbola x^(2)-9y^(2)=9 and find the point of contact.

If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is

Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144 .

Show that the line x + y + 1=0 touches the hyperbola x^(2)/16 -y^(2)/15 = 1 and find the co-ordinates of the point of contact.