IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

nagaraju_bhanoori

tmh 17.1 25example

hermionie

If p(t+1/t , t-1/t) ie T + 1 divided by T, T- 1divided by T is a variable point, find its locus.

rvarun89

prove that the area of the triangle formed by the asymptodes and any tangent to the hyberbola is a constant?

rvarun89

find the equation of the chord of contact of tangents drawn from the points p(x,y) to the hyperbola x^2/a^2-y^2/b^2=1?

pl sir or someone i need that answere to submit my assignment.........

hermionie

hey please answer my question soon.

karthik_kel

hi sonali is ur ans x+y=2

hermionie

Sorry the answer is x^2-y^2=4 ie x square minus y sqsuare=4
But i don't know how to work it out.please help me.

hermionie

friends please help me

kghedriu

Hi sonali...see the reply to ur qn...

first of all, in finding the locus, all we have to do is find a relation between x and y....

in the qn u hav given, x= t+1/t and y=t-1/t are two equations....so, eliminate tin the equations to get locus....

for this, take the advantage of the fact that t.1/t=1

so, we get t.1/t term when u consider x^2-y^2....

so, find x^2-y^2....t will b eliminated and u will get eqn of locus..