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ExamsJEE MainMaths

From the external point P(2, 3), two tangents are drawn to the parabola y² = 4x. Find the coordinates of the points of contact Q and R.

  1. (9, 6) and (1, 2)
  2. (1, 2) and (4, 4)
  3. (4, 4) and (9, 6)
  4. (9, 6) and (1/4, 1)

Correct answer: (1, 2) and (4, 4)

Solution

The chord of contact 3y = 2x + 4 meets y² = 4x at (1, 2) and (4, 4).

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