Question

Which of the following quadratic equations has real and distinct roots ?

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 points A and B respectively.

If x² + bx + b = 0 has two real and distinct roots, then the value of b can be

Assertion : The quadratic equation x² – 4x + k = 0 has two distinct real roots if k < 4 Reason : The quadratic equation ax² + bx + c = 0 has two distinct real roots if and only if the discriminant b² – 4ac > 0