Home
Class 12
MATHS
The equation of common tangent to the pa...

The equation of common tangent to the parabola `y^2 =8x` and hyperbola `3x^2 -y^2=3` is

Text Solution

Verified by Experts

`a^2=1`
so, `a=+-1`
`b^2=3`
so,`b=+-sqrt3`
equation of tangent to hyperbola
`y=mx+-sqrt(a^2m^2-b^2)`
`y=mx+-sqrt(m^2-3)` -(1)
equation of parabola`y^2=8x`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of common tangents to the parabola y^(2)=8 x and hyperbola 3 x^(2)-y^(2)=3 are

The equation of the common tangent to the parabola y^(2) = 8x and the hyperbola 3x^(2) – y^(2) = 3 is

Equation of a common tangent to the parabola y^(2)=4x and the hyperbola xy=2 is

Equation of a common tangent to the parabola y^(2)=4x and the hyperbola xy=2 is

Equation of a common tangent to the parabola y^(2)=4x and the hyperbola xy=2 is

Equation of a common tangent to the parabola y^(2)=4x and the hyperbola xy=2 is

The absolute value of slope of common tangents to parabola y^(2) = 8x and hyperbola 3x^(2) -y^(2) =3 is

The absolute value of slope of common tangents to parabola y^(2) = 8x and hyperbola 3x^(2) -y^(2) =3 is