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IAL 2025 May FP1 Q9

A Level / Edexcel / FP1

IAL 2025 May Paper · Question 9

Question

[!problem]

Figure 1 shows a sketch of a parabola CC.

The point PP lies on CC at a distance 5 units from the focus of CC.

The points QQ and RR lie on the directrix of CC, where PQ=PR=10PQ = PR = 10 units.

Determine the exact length of QRQR giving the answer in simplest form.

(4)

中文翻译

图 1 显示了抛物线 CC 的示意图。

PPCC 上,与 CC 的焦点距离为 5 个单位。

QQRRCC 的准线上,其中 PQ=PR=10PQ = PR = 10 个单位。

确定 QRQR 的精确长度,将答案写成最简形式。

(4)