Home
Class 11
MATHS
The value of m for which the line y=mx+2...

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

A

`pm (4 sqrt2)/(3)`

B

`pm (2)/(3)`

C

`pm (8)/(9)`

D

`pm (2 sqrt2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Values of m, for which the line y=mx+2sqrt5 is a tangent to 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 equal to

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

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

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