CBSE Class 10 Maths (Standard) 2025 · Paper 30/6/1 · Question 32(a)

There is a circular park of diameter $65$ m as shown in the figure, where $AB$ is a diameter. An entry gate is to be constructed at a point $P$ on the boundary of the park such that distance of $P$ from $A$ is $35$ m more than the distance of $P$ from $B$. Find distance of point $P$ from $A$ and $B$ respectively.