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|Exercise Example|7 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|1 Videos

  • GRAPHICAL TRANSFORMATIONS

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

  • INDEFINITE INTEGRAL

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

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola 4x^(2)-9y^(2)=36 is :

Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) = 1 at (x_1y_1)

Find the area of the triangle formed by any tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 with its asymptotes.

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

Find the equation of the tangent to the curve (X^2)/(a^2) + (y^2)/(b^2) = 1 at (x_0.y_0)

A point P is taken on the right half of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 having its foci as S_1 and S_2 . If the internal angle bisector of the angle angleS_1PS_2 cuts the x-axis at poin Q(alpha, 0) then range of alpha is

Length of common tangents to the hyperbolas x^2/a^2-y^2/b^2=1 and y^2/a^2-x^2/b^2=1 is

Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and a concentric circle of radius rdot

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)