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JEE Advanced 2024 · Paper 2 · one or more correct

JEE Advanced 2024 Mathematics question on Conic Sections

Let A1,B1,C1A_1, B_1, C_1 be three points in the xyxy-plane. Suppose that the lines A1C1A_1C_1 and B1C1B_1C_1 are tangents to the curve y2=8xy^2=8x at A1A_1 and B1B_1, respectively. If O=(0,0)O=(0,0) and C1=(−4,0)C_1=(-4,0), then which of the following statements is (are) TRUE?
  1. A.
    The length of the line segment OA1OA_1 is 434\sqrt{3}
  2. B.
    The length of the line segment A1B1A_1B_1 is 1616
  3. C.
    The orthocenter of the triangle A1B1C1A_1B_1C_1 is (0,0)(0,0)
  4. D.
    The orthocenter of the triangle A1B1C1A_1B_1C_1 is (1,0)(1,0)
Show answer

Correct options: A, C

[JEE Advanced 2024 · Paper 2]

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