Jee Advanced
Straight Lines And Pair Of Straight Lines
JEE Advanced 2021 Paper 1 Online
INTEGER+2 / -02021
Consider the lines L1 and L2 defined by
\({L_1}:x\sqrt 2 + y - 1 = 0\) and \({L_2}:x\sqrt 2 - y + 1 = 0\)
For a fixed constant \(\lambda\), let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is \(\lambda\)2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is \(\sqrt {270}\). Let the perpendicular bisector of RS meet C at two distinct points R' and S'. Let D be the square of the distance between R' and S'.
The value of \(\lambda\)2 is __________.
\({L_1}:x\sqrt 2 + y - 1 = 0\) and \({L_2}:x\sqrt 2 - y + 1 = 0\)
For a fixed constant \(\lambda\), let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is \(\lambda\)2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is \(\sqrt {270}\). Let the perpendicular bisector of RS meet C at two distinct points R' and S'. Let D be the square of the distance between R' and S'.
The value of \(\lambda\)2 is __________.