Home
Class 12
MATHS
If it is possible to draw the tangent to...

If it is possible to draw the tangent to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` having slope 2, then find its range of eccentricity.

Text Solution

Verified by Experts

The correct Answer is:
`1lteltsqrt(5)`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Example|7 Videos

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples : Subjective Type Questions|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If it is possible to draw the tangent to the hyperbola x^2/a^2-y^2/b^2=1 having slope 2,then find the range of eccentricity

If the latus rectum subtends a right angle at the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then find its eccentricity.

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

If the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=1 is (9)/(2) , then its eccentricity, is

The eccentricity of the hyperbola x^(2)-y^(2)=9 is

Find the equations of the tangent and normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 . at the point (x_0,y_0)

If the chords of contact of tangents from two points (-4,2) and (2,1) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angle, then find then find the eccentricity of the hyperbola.

Find the equation of normal to the hyperbola 3x^2-y^2=1 having slope 1/3

Find the equation of normal to the hyperbola 3x^2-y^2=1 having slope 1/3dot