Home
Class 12
MATHS
A tangent is drawn at any point on the h...

A tangent is drawn at any point on the hyperbola `x^(2)/a^(2) - y^(2)/b^(2) = 1`. If this tengent is intersected by the tangents at the vertices at points P and Q then show that S, S' , P and Q are concyclic points where S and S' are the foci of the hyperbola .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    FIITJEE|Exercise SOLVED PROBLEMES (OBJECTIVE)|27 Videos
  • HYPERBOLA

    FIITJEE|Exercise Exercise - 1|6 Videos
  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise EXERCISE-8|1 Videos

Similar Questions

Explore conceptually related problems

If P(theta) is a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 , whose foci are S and S', then SP.S'P =

Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =1 intersects asymptotes at Q and R, if O is the centre of hyperbola then

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If these tangents cut the coordinates axes at 4 concyclic points, then the locus of P is

Tangents at any point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 cut the axes at A and B respectively,If the rectangle at OAPB (where O is origin) is completed then locus of point P is given by

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q .If these tangents intersect at the point T(0,3) then the area (in sq units) of /_PTQ is

If P(x_(1),y_(1)) is a point on the hyperbola x^(2)-y^(2)=a^(2) , then SP.S'P= . . . .