Question bank/JEE Main/Mathematics
JEE MainMathematics
The locus of the middle points of the focal chords of parabola,
y2 = 8x is another parabola whose length of latus rectum is
Show answer and solution
2h = a[IMAGE]....(1) and
2k = 2a (t1 + t2)....(2)
and t1t2 = - 1
[IMAGE] from (2)
k2 = a2 [IMAGE] y2 = 2a (x - 2a)
Put a = 2
Hence, y2 = 4 (x - 4). ]
2k = 2a (t1 + t2)....(2)
and t1t2 = - 1
[IMAGE] from (2)
k2 = a2 [IMAGE] y2 = 2a (x - 2a)
Put a = 2
Hence, y2 = 4 (x - 4). ]
Source: Grass-G / M-02 Mathematics Paper-2.docx
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