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प्रश्न
Find the equation of the parabola with latus-rectum joining points (4, 6) and (4, -2).
उत्तर
Joining points are (4, 6) and (4, -2)
Length of latus - rectum = 4a
∴ `sqrt((4 - 4)^2 + (6+ 2)^2) = 4a`
⇒ `sqrt((8)^2)` = 4a
∴ 4a = 8
Hence, equation of parabola
Y2 = 4ax
Y2 = 8x
∴ (y -2)2 = 8x
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