JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

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 . If R is an interior point of the parabola then

Answer: (A)

Solution

R divides PQ internally in ratio (so ):

R=(,\ )=(1,\ ).

Interior: \dfrac{3λ+1}${1

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Question ID VK-109013