1
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If $$\overrightarrow a $$ and $$\overrightarrow b $$ are perpendicular, then
$$\overrightarrow a \times \left( {\overrightarrow a \times \left( {\overrightarrow a \times \left( {\overrightarrow a \times \overrightarrow b } \right)} \right)} \right)$$ is equal to :
A
$${1 \over 2}|\overrightarrow a {|^4}\overrightarrow b $$
B
$$\overrightarrow 0 $$
C
$$\overrightarrow a \times \overrightarrow b $$
D
$$|\overrightarrow a {|^4}\overrightarrow b $$
2
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting 9 heads, then the probability of getting 2 heads is :
A
$${{15} \over {{2^8}}}$$
B
$${{15} \over {{2^{12}}}}$$
C
$${{15} \over {{2^{13}}}}$$
D
$${{15} \over {{2^{14}}}}$$
3
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
In the circle given below, let OA = 1 unit, OB = 13 unit and PQ $$ \bot $$ OB. Then, the area of the triangle PQB (in square units) is :

JEE Main 2021 (Online) 26th February Morning Shift Mathematics - Circle Question 78 English
A
24$$\sqrt 2 $$
B
24$$\sqrt 3 $$
C
26$$\sqrt 2 $$
D
26$$\sqrt 3 $$
4
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The value of $$\left| {\matrix{ {(a + 1)(a + 2)} & {a + 2} & 1 \cr {(a + 2)(a + 3)} & {a + 3} & 1 \cr {(a + 3)(a + 4)} & {a + 4} & 1 \cr } } \right|$$ is :
A
$$-$$2
B
0
C
(a + 2)(a + 3)(a + 4)
D
(a + 1)(a + 2)(a + 3)
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