Home
Class 12
MATHS
For all real values of m , the straight ...

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? `9x^2+4y^2=36` (b) `4x^2+9y^2=36` `9x^2-4y^2=36` (d) `4x^2-9y^2=36`

A

`9x^(2)+4y^(2)=36`

B

`4x^(2)+9y^(2)=36`

C

`9x^(2)-4y^(2)=36`

D

`4x^(2)-9y^(2)=36`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Factorize each of the following expressions: 9x^2-4y^2 (ii) 36 x^2-12 x+1-25 y^2

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

Find the asymptotes of the hyperbola 4x^(2)-9y^(2)=36

Find the eccentricity of the hyperbola 9y^(2)-4x^(2)=36

Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

Factorise the following using appropriate identities:(i) 9x^2+6x y+y^2 (ii) 4y^2-4y+1 (iii) x^2-(y^2)/(100)

The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

The straight line x+y=sqrt2P will touch the hyperbola 4x^2-9y^2=36 if (a) p^2=2 (b) p^2=5 (c) 5p^2=2 (d) p^2 = 2/ 5

Find the equation of the tangent to the hyperbola 4x^(2)-9y^(2)=36" at "theta=pi/4