If the values of m for which the line y=...

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

A

`-2`

B

`0`

C

`2`

D

`4`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

If the roots of equations x^(2) - mx+ 16=0 are equal then the value of m is:

The st. line y = 4x + c touches the hyperbola x^2-y^2=1 if .

The values of lamda for which the line y=x+ lamda touches the ellipse 9x^(2)+16y^(2)=144 , are

For what value of lambda does the line y=2x+lambda touches the hyperbola 16x^(2)-9y^(2)=144 ?

The value of m for which the line y=m x+2 becomes a tangent to the hyperbola 4 x^(2)-9 y^(2)=36 is

The line 5 x+12 y=9 touch the hyperbola x^(2)-9 y^(2)=9 at

The value of ' m ' for which y=mx+6 is a tangent to the hyperbola x^2/100-y^2/49 =1 is :

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

The straight line x+y=-sqrt2P will touch the hyperbola 4x^2-9y^2=36 if