Cos 0 4 sin 4 x x f x x x p p p ì ï ï í ï ï î then

( )
cos ; 0
4
sin ;
4
x x
f x
x x
p
p
p
ì
£ £
ï
ï
=
í
ï
< £
ï
î
, then the area bounded by y = ƒ(x) with x-axis, is
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1001CJA103118013
4. The number of ways to sit 4 couples around a round table such that no 2 persons from the
same couple sit next to each other is
5. If
( )
( )
3
0
2
0
sin
2 sin
x n x dx
k
x n x dx
p
p
p =
ò
ò
l
l
, then k is equal to
6. Let
v
r
be a unit vector which follows the equation,
v b c ´ =
r
r r
,
2 b =
r
and 3 c =
r
. Also
( )
v k b b c = + ´
r r
r r
then k is equal to
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7. If
( )( )( )
1 3 4
r
r
T
r r r
=
+ + +
, find
S
¥
8. Let
{ }
1,2,3,4,5 A =
and
{ }
0,1,2,3,4,5 B =
, find probability that
( )
2,3,4,5 f i i i ¹ " =
and
( )
1 0 f ¹
or 1. If it is known that f(x) is an one-one function from A to B.
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Target : JEE (Main + Advanced) 2019/21-04-2019/Paper-1
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SECTION–III : (Maximum Marks : 6)
This section contains TWO questions.
The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both
inclusive.
For each question, darken the bubble corresponding to the correct integer in the ORS.
For each question, marks will be awarded in one of the following categories :
Full Marks : +3 If only the bubble corresponding to the correct answer is darkened.
Zero Marks : 0 In all other cases.
1. The number of tangents to the curve
( )
cos 2 , 2 2 y x y x p p = + - £ £
, that are parallel to the line
x + 3y = 0 is
2. Number of points of non-differentiability of
( )
3 2 2 3
1 1 1 1 f x x x x x = - - - + - + -
is
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NURTURE PH-I English 1001 03/04/2019 ASAT/TALLENTEX
NURTURE PH-II Eng/Hindi 1002 15/04/2019 ASAT/TALLENTEX
NURTURE PH-III English 1003 29/04/2019 ASAT/TALLENTEX
NURTURE PH-IV Eng/Hindi 1004 13/05/2019 ASAT/TALLENTEX
ENTHUSIAST PH-II Eng/Hindi 1022 01/04/2019 Direct
ENTHUSIAST PH-III Eng/Hindi 1023 08/05/2019 Direct
LEADER PH-I Eng/Hindi 1031 24/04/2019 Through ASAT
LEADER PH-II Eng/Hindi 1032 08/05/2019 Through ASAT
LEADER PH-III Eng/Hindi 1033 29/05/2019 Through ASAT
NURTURE PH-I Eng/Hindi 2001 01/04/2019 Direct
NURTURE PH-II Eng/Hindi 2002 15/04/2019 Direct
NURTURE PH-III Eng/Hindi 2003 15/05/2019 Direct
ENTHUSIAST PH-I Eng/Hindi 2021 01/04/2019 Direct
ENTHUSIAST PH-II Eng/Hindi 2022 06/05/2019 Direct
ENTHUSIAST PH-III Eng/Hindi 2023 27/05/2019 Direct
LEADER PH-I Eng/Hindi 2031 24/04/2019 Direct
LEADER PH-II Eng/Hindi 2032 06/05/2019 Direct
LEADER PH-III Eng/Hindi 2033 27/05/2019 Direct
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NURTURE PH-I English 3001 07/04/2019 Direct
NURTURE PH-II English/Hindi 3002 21/04/2019 Direct
NURTURE PH-III English 3003 19/05/2019 Direct
NURTURE PH-III(B) English 3261 20/05/2019 Direct
ENTHUSIAST PH-I English/Hindi 3021 01/04/2019 Direct
ENTHUSIAST PH-II English/Hindi 3022 15/05/2019 Direct
LEADER PH-I English/Hindi 3031 08/04/2019 Direct
LEADER PH-II English/Hindi 3032 29/04/2019 Direct
LEADER PH-III English/Hindi 3033 20/05/2019 Direct
ACHIEVER PH-I English/Hindi 3051 15/05/2019 Direct
ACHIEVER PH-II English/Hindi 3052 03/06/2019 Direct
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Courses Medium Course Classes Admission
Code Mode
Courses Medium Course Classes Admission
Code Mode
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