Parabola

Section: Mathematics

Question : 2 of 31

Marks: +1, -0

Let A1,B1,C1 be three points in the xy-plane. Suppose that the lines A1C1 and B1C1 are tangents to the curve y2=8x at A1 and B1, respectively. If O=(0,0) and C1=(−4,0), then which of the following statements is (are) TRUE?

[JEE Adv 2024 P2]

The length of the line segment OA1 is 4√3
The length of the line segment A1B1 is 16
The orthocentre of the triangle A1B1C1 is (0,0)
The orthocentre of the triangle A1B1C1 is (1,0)

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