IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

naman

tgts are drawn to the parabola y²=8x at pts P(t₁) and Q(t₂) intersect at a pt T and normals at P and Q intersect at a pt R such that t₁and t₂ re the roots of the equation t²+at+2=0 ; /a/>2.

then locus of circumcentre of triangle PTQ is

A) y²=X-2 b) 2y²=X+2 c)2y²=X-2 d) 2y²=3(X-2)

naman

koi to solve karo

bladeX

the point t is ( at1t2 ; at1+at2) find the cirumcentre .
the loucs will be such that x= f(t1,t2) and y=f(t1;t2) then use the relation
t1.t2= -a ....................1
t1+t2=-2 ...................2
eliminate all t and get the locus
dont't use relation no. 1 as it will again give you anoher constant .
on using 2 you will get a single variable in the two function fs
now eliminate t1 or t2 as per choice and get the locus

bladeX

here the 'a' in my ist. line is not a of the eq. but focus of the parta. ie. a=2.

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