1
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A = {X = (x, y, z)T: PX = 0 and

x2 + y2 + z2 = 1} where

$$P = \left[ {\matrix{ 1 & 2 & 1 \cr { - 2} & 3 & { - 4} \cr 1 & 9 & { - 1} \cr } } \right]$$,

then the set A :
A
is an empty set.
B
contains more than two elements.
C
contains exactly two elements.
D
is a singleton.
2
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Consider a region R = {(x, y) $$ \in $$ R : x2 $$ \le $$ y $$ \le $$ 2x}. if a line y = $$\alpha $$ divides the area of region R into two equal parts, then which of the following is true?
A
3$$\alpha $$2 - 8$$\alpha $$ + 8 = 0
B
$$\alpha $$3 - 6$$\alpha $$3/2 - 16 = 0
C
3$$\alpha $$2 - 8$$\alpha $$3/2 + 8 = 0
D
$$\alpha $$3 - 6$$\alpha $$2 + 16 = 0
3
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If a curve y = f(x), passing through the point (1, 2), is the solution of the differential equation,
2x2dy= (2xy + y2)dx, then $$f\left( {{1 \over 2}} \right)$$ is equal to :
A
$${1 \over {1 - {{\log }_e}2}}$$
B
$${1 \over {1 + {{\log }_e}2}}$$
C
$${{ - 1} \over {1 + {{\log }_e}2}}$$
D
$${1 + {{\log }_e}2}$$
4
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let S be the sum of the first 9 terms of the series :
{x + k$$a$$} + {x2 + (k + 2)$$a$$} + {x3 + (k + 4)$$a$$}
+ {x4 + (k + 6)$$a$$} + .... where a $$ \ne $$ 0 and x $$ \ne $$ 1.

If S = $${{{x^{10}} - x + 45a\left( {x - 1} \right)} \over {x - 1}}$$, then k is equal to :
A
-3
B
1
C
-5
D
3
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