Home
Class 12
MATHS
The equation of a tangent to the hyperbo...

The equation of a tangent to the hyperbola `9x^2 - 12y^2 = 144` parallel to the line `x- y=5` is:

A

x - y = 3

B

x - y - 2 = 0

C

x + y - 4 = 0

D

x - y - 8 = 0

Text Solution

Verified by Experts

The correct Answer is:
B
`y = mx pm sqrt( 16m^2 - 12) `
` m = 1`
` y = x pm 2`
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of a tangent to the hyperbola 3x^(2)-y^(2)=3 , parallel to the line y = 2x +4 is

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

Find the equations of the tangents to the hyperbola 4x^2 - 9y^2 = 36 which are parallel to the line 5x-3y=2 .

The equation of the tangent to the hyperbola 2x^(2)-3y^(2)=6 which is parallel to the line y=3x+4 , is

Statement 1: The equations of tangents to the hyperbola 2x^(2)-3y^(2)=6 which is parallel to the line y=3x+4 are y=3x-5 and y=3x+5. Statement 2: For a given slope, two parallel tangents can be drawn to the hyperbola.

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel and nearer to the line 1010x+1010y=2 is