The values of m for which the line `y=mx +2 ` becomes a tangent to the hyperbola `4x^2-9y^2-36` is .
A
`+-(2)/(3)`
B
`+-(2sqrt(2))/(3)`
C
`+-(8)/(9)`
D
`+-(4sqrt(2))/(3)`
Text Solution
Verified by Experts
The correct Answer is:
B
Topper's Solved these Questions
EAMCET -2016 (AP)
SIA PUBLICATION|Exercise PHYSICS|39 Videos
EAMCET -2016 (AP)
SIA PUBLICATION|Exercise CHEMISTRY|3 Videos
EAMCET - 2018 (TS) SHIFT - 2
SIA PUBLICATION|Exercise Chemistry|18 Videos
EAMCET -2016 (TS)
SIA PUBLICATION|Exercise CHEMISTRY|36 Videos
Similar Questions
Explore conceptually related problems
The values of m for which the line y =mx +2 become a tangent to the hyperbola 4x^(2) -9y^(2) =36 is
In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ,then k =
If values of m for which the line y= mx +2 sqrt5 touches the hyperbola 16x^(2) -9y^(2) =144 are roots of the equation x^(2) -(a+b)x-4 =0 then value of (a+b) is equal to
The eccentricity of the hyperbola 4x^(2) -9y^(2) =36 is
Find the condition for the line y=mx+c to be a tangent to the parabola x^(2)=4ay .
The condition that the line y=mx+c to be a tangent to the parabola y^(2)=4a(x+a) is
If the line x +y+ k =0 is a normal to the hyperbola x^2/9 - y^2/4 =1 then k =
Find the equation of the tangent to the hyperbola 4x^(2)-9y^(2)=36" at "theta=pi/4
The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=