1
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The contrapositive of the statement "If you will work, you will earn money" is :
A
If you will not earn money, you will not work
B
If you will earn money, you will work
C
You will earn money, if you will not work
D
To earn money, you need to work
2
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
The shortest distance between the line x $$-$$ y = 1 and the curve x2 = 2y is :
A
0
B
$${1 \over 2{\sqrt 2 }}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over 2}$$
3
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A plane passes through the points A(1, 2, 3), B(2, 3, 1) and C(2, 4, 2). If O is the origin and P is (2, $$-$$1, 1), then the projection of $$\overrightarrow {OP} $$ on this plane is of length :
A
$$\sqrt {{2 \over 7}} $$
B
$$\sqrt {{2 \over 5}} $$
C
$$\sqrt {{2 \over 3}} $$
D
$$\sqrt {{2 \over 11}} $$
4
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
A function f(x) is given by $$f(x) = {{{5^x}} \over {{5^x} + 5}}$$, then the sum of the series $$f\left( {{1 \over {20}}} \right) + f\left( {{2 \over {20}}} \right) + f\left( {{3 \over {20}}} \right) + ....... + f\left( {{{39} \over {20}}} \right)$$ is equal to :
A
$${{{39} \over 2}}$$
B
$${{{19} \over 2}}$$
C
$${{{49} \over 2}}$$
D
$${{{29} \over 2}}$$
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