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In the parabola y² = 4ax, a double ordinate has length 8a. The angle it subtends at the vertex is
- π/2
- π/4
- π/6
- 2π/3
Correct answer: π/2
Solution
A double ordinate of length 8a on y^2=4ax has endpoints (4a, 4a) and (4a, -4a). Their slopes from the vertex (0,0) are +1 and -1, so the angle subtended is 90 degrees = pi/2.
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