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JEE Advanced Model Paper 11 with solutions for online practice
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© examsnet.com
Question : 60
Total: 60
Match the following Column – I with Column – II
Column – I
Column – II
A) The normal at
(
c
t
1
,
c
t
1
)
to the curve xy =
c
2
meets it again at
(
c
t
2
,
c
t
2
)
(c ,
t
1
,
t
2
≠ 0 ) then
t
1
3
+
t
2
−
1
= .....
P) 1
B) Maximum distance from centre of ellipse
3
x
2
+
4
y
2
= 12 from any of its solution is ......
Q) 0
Number of solution pairs (x, y) for the equations |x| + |y| = 1 and sinx + siny = sin (x + y) is .....
R) 3
D) A variable plane makes with 3-dimensional co-ordinateaxes, a tetrahedron of constant volume
64
k
3
. Thenlocus of centroid of this tetrahedron is xyz = 2
λ
k
3
where λ =
S) 6
A - Q ; B - P ; C - S , D - P
A - Q ; B - R ; C - S , D - R
A - P ; B - P ; C - S , D - R
A - Q ; B - P ; C - S , D - R
Validate
Solution:
a)
t
1
3
t
2
= -1
b) Max.dist. required = |a - b| from
x
2
a
2
+
y
2
b
2
= 1
c) Graphical methos : |x| + |y| = 1 , x = 2nπ , y = 2nπ
d)
(
a
4
,
b
4
,
c
4
)
= (x , y , z) = centroid and volume =
a
b
c
6
∴ λ = 3 in the question
© examsnet.com
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