The ends of a line segment are P (1, 3) and Q (1, 1). R is a point on the line segment PQ…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

The ends of a line segment are P (1, 3) and Q (1, 1). R is a point on the line segment PQ such that PR : QR = 1 : λ. If R is an interior point of a parabola y2 = 4x, then
  1. λ ∈ (0, 1)
  2. λ ∈ \(\left(-\frac{3}{5}, 1\right)\)
  3. λ ∈ \(\left(\frac{1}{2}, \frac{3}{5}\right)\)
  4. none of these

Answer

(B) λ ∈ (- 3 5 , 1 )

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