Home
Class 12
MATHS
The portion of the tangent to the hyperb...

The portion of the tangent to the hyperbola intercepted between the asymptotes is bisected at the point of contact and the area of the triangle formed by the tangent and the two asymptotes is constant.

Text Solution

Verified by Experts

The correct Answer is:
T
Promotional Banner

Topper's Solved these Questions

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|3 Videos
  • THE HYPERBOLA

    ML KHANNA|Exercise MISCELLANGEOUS EXERCISE (MATCHING ENTERIES) |1 Videos
  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (3) (MCQ)|8 Videos
  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos
  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

Similar Questions

Explore conceptually related problems

Prove that the segment of tangent to xy=c^(2) intercepted between the axes is bisected at the point at contact .

Find the area of the triangle formed by a tangent to the hyperbola xy=1 and its asymptotes.

Find the area of the triangle formed by a tangent to the hyperbola xy=1 and its asymptotes.

Show that the length of the tangent to the parabola y^2 = 4ax intercepted between its point of contact and the axis of the parabola is bisected by the tangent at the vertex.

Show that the segment of the tangent to the hyperbola y = frac{a^2}{x} intercepted between the axes of the coordinates is bisected at the point of contact

For the curve xy=c, prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.