JEE Main 2020 Mathematics question

MathematicsVector AlgebraJEE Main 2020

Let the position vectors of points 'A' and 'B' be and , respectively. A point 'P' divides the line segment AB internally in the ratio (). If O is the origin and , then is equal to.

Answer: 0.8

Solution

The equation gives 10λ² − 8λ = 0, i.e. λ = 0 or 0.8; since λ > 0, λ = 0.8.

Question ID VK-012055