Question

There is a circular park of diameter 65 m as shown in the following 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.

Find the smallest value of p for which the quadratic equation x² – 2(p + 1)x + p² = 0 has real roots. Hence, find the roots of the equation so obtained.

Which of the following statements is false ?

In the adjoining figure, the sum of radii of two concentric circles is 16 cm. The length of chord AB which touches the inner circle at P is 16 cm. The difference of the radii of the given circles is