Home
Class 12
MATHS
Given the base of a triangle and the rat...

Given the base of a triangle and the ratio of the tangent of half the base angles .Show that the vertex moves on a hyperbola whose foci are the extremities of a diameter

Answer

Step by step text solution for Given the base of a triangle and the ratio of the tangent of half the base angles .Show that the vertex moves on a hyperbola whose foci are the extremities of a diameter by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 10 : Subjective Type Questions|4 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 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

Let the base of a triangle lie along the line x = a and be of length a. The area of this triangles is a^(2) , if the vertex lies on the line

If on a given base B C , a triangle is described such that the sum of the tangents of the base angles is m , then prove that the locus of the opposite vertex A is a parabola.

Find the area of a triangle whose base is 5 cm and altitude 4 cm.

If the angle opf a triangle are in the ratio 1:2:3, then show that the sides opposite to the respective angle are in the ratio 1: sqrt3:2.

Given the base of a triangle, the opposite angle A, and the product k^2 of the other two sides, show that it is not possible for a to be less than 2ksinA/2

In an isosceles triangle, if the vertex angle is equal to the sum of the base angles, then the measure vertex angles of the triangles is

Having given the bases and the sum of the areas of a number of triangles which have a common vertex, show that the locus of the vertex is a straight line.

Show that the bisectors of the base angles of a triangle can never enclose a right angle.

A square is inscribed in an isosceles right triangle so that the square and the triangled on angle common. Show that the vertex of a square opposite in vertex of the common angle bisects the hypotenuse.

Find the area of a triangle whose height is 6cm and base is 10 cm.