1
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Choose the incorrect statement about the two circles whose equations are given below :

x2 + y2 $$-$$ 10x $$-$$ 10y + 41 = 0 and

x2 + y2 $$-$$ 16x $$-$$ 10y + 80 = 0
A
Distance between two centres is the average of radii of both the circles.
B
Both circles pass through the centre of each other.
C
Circles have two intersection points.
D
Both circle's centers lie inside region of one another.
2
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagrams can justify the above statement?

JEE Main 2021 (Online) 17th March Morning Shift Mathematics - Sets and Relations Question 55 English
A
Q and R
B
None of these
C
P and R
D
P and Q
3
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If cot$$-$$1($$\alpha$$) = cot$$-$$1 2 + cot$$-$$1 8 + cot$$-$$1 18 + cot$$-$$1 32 + ...... upto 100 terms, then $$\alpha$$ is :
A
1.02
B
1.03
C
1.01
D
1.00
4
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If $$A = \left( {\matrix{ 0 & {\sin \alpha } \cr {\sin \alpha } & 0 \cr } } \right)$$ and $$\det \left( {{A^2} - {1 \over 2}I} \right) = 0$$, then a possible value of $$\alpha$$ is :
A
$${\pi \over 4}$$
B
$${\pi \over 6}$$
C
$${\pi \over 2}$$
D
$${\pi \over 3}$$
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