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JEE Mains Questions
Straight Lines
Applied Mathematics
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JEE Mains
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Easy Qs
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The number of all
$3Γ3$
matrices
$A$
, with enteries from the set
${β1,0,1}$
such that the sum of the diagonal elements of
$AA_{T}$
is
$3$
, ______.
Medium
JEE Mains
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Differentiation gives us the instantaneous rate of change of one variable with respect to another.
A
True
B
False
Medium
JEE Mains
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All possible number are formed using the digits
$1,1,2,2,2,2,3,4,4$
taken all at a time. The number of such number in which the odd digits occupy even places is:
A
$175$
B
$162$
C
$160$
D
$180$
Medium
JEE Mains
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The value of
$(_{21}C_{1}β_{10}C_{1})+(_{21}C_{2}β_{10}C_{2})+(_{21}C_{3}β_{10}C_{3})+(_{21}C_{4}+_{10}C_{4})+......+(_{21}C_{10}β_{10}C_{10})$
is:
A
$2_{21}β2_{11}$
B
$2_{21}β2_{10}$
C
$2_{20}β2_{9}$
D
$2_{20}β2_{10}$
Medium
JEE Mains
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A group of students comprises of
$5$
boys and
$n$
girls. If the number of ways, in which a team of
$3$
students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is
$1750$
, then
$n$
is equal to
A
$25$
B
$28$
C
$27$
D
$24$
Medium
JEE Mains
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The number of four -digit numbers strictly grater than
$4321$
that can be formed using the digits
$0,1,2,3,4,5$
(repetition of digits is allowed) is:
A
$288$
B
$306$
C
$360$
D
$310$
Medium
JEE Mains
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>