1
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The shortest distance between the lines

$${{x - 1} \over 0} = {{y + 1} \over { - 1}} = {z \over 1}$$

and x + y + z + 1 = 0, 2x – y + z + 3 = 0 is :
A
1
B
$${1 \over 2}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over {\sqrt 3 }}$$
2
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let a , b, c , d and p be any non zero distinct real numbers such that
(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0. Then :
A
a, c, p are in G.P.
B
a, b, c, d are in G.P.
C
a, b, c, d are in A.P.
D
a, c, p are in A.P.
3
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated?
A
2! 3! 4!
B
(3!)3.(4!)
C
3! (4!)3
D
(3!)2.(4!)
4
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let m and M be respectively the minimum and maximum values of

$$\left| {\matrix{ {{{\cos }^2}x} & {1 + {{\sin }^2}x} & {\sin 2x} \cr {1 + {{\cos }^2}x} & {{{\sin }^2}x} & {\sin 2x} \cr {{{\cos }^2}x} & {{{\sin }^2}x} & {1 + \sin 2x} \cr } } \right|$$

Then the ordered pair (m, M) is equal to :
A
(–3, –1)
B
(–4, –1)
C
(1, 3)
D
(–3, 3)
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