Question 4 - Week 4 Practice | Prasnya
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Week 4
Question 4
00:00
Est. 2 min
Marks:
+4.00
0.00
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.
