1
JEE Main 2021 (Online) 31st August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If z is a complex number such that $${{z - i} \over {z - 1}}$$ is purely imaginary, then the minimum value of | z $$-$$ (3 + 3i) | is :
A
$$2\sqrt 2 - 1$$
B
$$3\sqrt 2 $$
C
$$6\sqrt 2 $$
D
$$2\sqrt 2 $$
2
JEE Main 2021 (Online) 31st August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let a1, a2, a3, ..... be an A.P. If $${{{a_1} + {a_2} + .... + {a_{10}}} \over {{a_1} + {a_2} + .... + {a_p}}} = {{100} \over {{p^2}}}$$, p $$\ne$$ 10, then $${{{a_{11}}} \over {{a_{10}}}}$$ is equal to :
A
$${{19} \over {21}}$$
B
$${{100} \over {121}}$$
C
$${{21} \over {19}}$$
D
$${{121} \over {100}}$$
3
JEE Main 2021 (Online) 31st August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A be the set of all points ($$\alpha$$, $$\beta$$) such that the area of triangle formed by the points (5, 6), (3, 2) and ($$\alpha$$, $$\beta$$) is 12 square units. Then the least possible length of a line segment joining the origin to a point in A, is :
A
$${4 \over {\sqrt 5 }}$$
B
$${16 \over {\sqrt 5 }}$$
C
$${8 \over {\sqrt 5 }}$$
D
$${12 \over {\sqrt 5 }}$$
4
JEE Main 2021 (Online) 31st August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then
A
f''(x) = 0 for all x $$\in$$ (0, 2)
B
f''(x) = 0 for some x $$\in$$ (0, 2)
C
f'(x) = 0 for some x $$\in$$ [0, 2]
D
f''(x) > 0 for all x $$\in$$ (0, 2)
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