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Find the length of the normal chord of the parabola y² = 4x that makes an angle of pi/4 (45 deg) with the x-axis.
- 8*sqrt(2)
- 8
- 4
- 4*sqrt(2)
Correct answer: 8*sqrt(2)
Solution
For y² = 4ax the length of a normal chord inclined at angle theta is (4a*csc² theta * sec theta); with a = 1 and theta = 45 deg this evaluates to 8*sqrt(2).
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