1
JEE Main 2021 (Online) 18th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
For the four circles M, N, O and P, following four equations are given :

Circle M : x2 + y2 = 1

Circle N : x2 + y2 $$-$$ 2x = 0

Circle O : x2 + y2 $$-$$ 2x $$-$$ 2y + 1 = 0

Circle P : x2 + y2 $$-$$ 2y = 0

If the centre of circle M is joined with centre of the circle N, further center of circle N is joined with centre of the circle O, centre of circle O is joined with the centre of circle P and lastly, centre of circle P is joined with centre of circle M, then these lines form the sides of a :
A
Rhombus
B
Square
C
Rectangle
D
Parallelogram
2
JEE Main 2021 (Online) 18th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If $$\alpha$$, $$\beta$$ are natural numbers such that
100$$\alpha$$ $$-$$ 199$$\beta$$ = (100)(100) + (99)(101) + (98)(102) + ...... + (1)(199), then the slope of the line passing through ($$\alpha$$, $$\beta$$) and origin is :
A
540
B
550
C
530
D
510
3
JEE Main 2021 (Online) 18th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The real valued function
$$f(x) = {{\cos e{c^{ - 1}}x} \over {\sqrt {x - [x]} }}$$, where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to :
A
all real except integers
B
all non-integers except the interval [ $$-$$1, 1 ]
C
all integers except 0, $$-$$1, 1
D
all real except the interval [ $$-$$1, 1 ]
4
JEE Main 2021 (Online) 18th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
$${1 \over {{3^2} - 1}} + {1 \over {{5^2} - 1}} + {1 \over {{7^2} - 1}} + .... + {1 \over {{{(201)}^2} - 1}}$$ is equal to
A
$${{101} \over {404}}$$
B
$${{25} \over {101}}$$
C
$${{101} \over {408}}$$
D
$${{99} \over {400}}$$
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