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Question 10 - Week 4 Practice | Prasnya
Q10
00:00
23 Feb 2025
Q10.
Which of the following options is/are true?
@passage
A
If
r
1
(
x
)
r_1(x)
r
1
(
x
)
is the remainder when
q
(
x
)
q(x)
q
(
x
)
divides
p
(
x
)
+
q
(
x
)
p(x)+q(x)
p
(
x
)
+
q
(
x
)
, then the maximum possible degree of
r
1
(
x
)
r_1(x)
r
1
(
x
)
is 5.
B
If
r
2
(
x
)
r_2(x)
r
2
(
x
)
is the remainder when
p
(
x
)
p(x)
p
(
x
)
divides
s
(
x
)
s(x)
s
(
x
)
, then the maximum possible degree of
r
2
(
x
)
r_2(x)
r
2
(
x
)
is 2.
C
If
t
1
(
x
)
t_1(x)
t
1
(
x
)
is the quotient when
q
(
x
)
q(x)
q
(
x
)
divides
p
(
x
)
p(x)
p
(
x
)
, then the possible degree of
t
1
(
x
)
t_1(x)
t
1
(
x
)
is 1.
D
If
t
2
(
x
)
t_2(x)
t
2
(
x
)
is the quotient when
p
(
x
)
p(x)
p
(
x
)
divides
s
(
x
)
s(x)
s
(
x
)
, then the possible degree of
t
2
(
x
)
t_2(x)
t
2
(
x
)
is 3.
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Q10
00:00
23 Feb 2025
Q10.
Which of the following options is/are true?
@passage
A
If
r
1
(
x
)
r_1(x)
r
1
(
x
)
is the remainder when
q
(
x
)
q(x)
q
(
x
)
divides
p
(
x
)
+
q
(
x
)
p(x)+q(x)
p
(
x
)
+
q
(
x
)
, then the maximum possible degree of
r
1
(
x
)
r_1(x)
r
1
(
x
)
is 5.
B
If
r
2
(
x
)
r_2(x)
r
2
(
x
)
is the remainder when
p
(
x
)
p(x)
p
(
x
)
divides
s
(
x
)
s(x)
s
(
x
)
, then the maximum possible degree of
r
2
(
x
)
r_2(x)
r
2
(
x
)
is 2.
C
If
t
1
(
x
)
t_1(x)
t
1
(
x
)
is the quotient when
q
(
x
)
q(x)
q
(
x
)
divides
p
(
x
)
p(x)
p
(
x
)
, then the possible degree of
t
1
(
x
)
t_1(x)
t
1
(
x
)
is 1.
D
If
t
2
(
x
)
t_2(x)
t
2
(
x
)
is the quotient when
p
(
x
)
p(x)
p
(
x
)
divides
s
(
x
)
s(x)
s
(
x
)
, then the possible degree of
t
2
(
x
)
t_2(x)
t
2
(
x
)
is 3.
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