NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 18
Total: 71
y2 = –8x
Solution:  
The given equation of parabola is y2 = –8x,
which is of the form y2 = – 4ax.
∴ 4a = 8 ⇒ a = 2
∴ Coordinates of focus are (–2, 0)
Axis of parabola is y = 0
Equation of the directrix is x = 2 ⇒ x – 2 = 0
Length of latus rectum = 4 × 2 = 8.
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