Question 1 - x-intercepts — roots and multiplicity; finding intersections of two polynomial functions Practice | Prasnya
Subendu and Mohit reside at ( 4 , − 18.9 ) (4, -18.9) and ( 4 , 18.9 ) (4, 18.9) respectively. They planned a road trip. Subendu decided to go by road r 1 ( x ) = 0.02 ( x − 5 ) ( x − 7 ) ( x − 9 ) ( x − 11 ) ( x − 13 ) r_1(x) = 0.02(x-5)(x-7)(x-9)(x-11)(x-13) and Mohit chose the road r 2 ( x ) = 0.02 ( x − 5 ) 2 ( x − 7 ) ( x − 9 ) ( x − 11 ) ( x − 13 ) r_2(x) = 0.02(x-5)^2(x-7)(x-9)(x-11)(x-13) . They decided to meet where these roads intersect. Based on the given information, choose the correct option. Single correct
Medium Difficulty
26 October 2025
A The number of x x -intercepts of r 1 ( x ) r_1(x) and r 2 ( x ) r_2(x) are 5 and 6 respectively. B The number of intersection points of r 1 ( x ) r_1(x) and r 2 ( x ) r_2(x) can be found using r 1 ( x ) = r 2 ( x ) r_1(x) = r_2(x) . C The number of intersection points of r 1 ( x ) r_1(x) and r 2 ( x ) r_2(x) can be found using r 1 ( x ) = − r 2 ( x ) r_1(x) = -r_2(x) . D The number of x x -intercepts of r 1 ( x ) r_1(x) and r 2 ( x ) r_2(x) are 6. 