1
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of the parallelogram whose diagonals are along the vectors $$8\widehat i - 6\widehat j$$ and $$3\widehat i + 4\widehat j - 12\widehat k,$$ is :
A
26
B
65
C
20
D
52
2
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles $${\cos ^{ - 1}}\left( {{1 \over 7}} \right)$$ and sec$$-$$1 (7) at the center respectivey, then the distance between these chords, is :
A
$${4 \over {\sqrt 7 }}$$
B
$${8 \over {\sqrt 7 }}$$
C
$${8 \over 7}$$
D
$${16 \over 7}$$
3
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The integral $$\int_{{\pi \over {12}}}^{{\pi \over 4}} {\,\,{{8\cos 2x} \over {{{\left( {\tan x + \cot x} \right)}^3}}}} \,dx$$ equals :
A
$${{15} \over {128}}$$
B
$${{15} \over {64}}$$
C
$${{13} \over {32}}$$
D
$${{13} \over {256}}$$
4
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of the smaller portion enclosed between the curves, x2 + y2 = 4 and y2 = 3x, is :
A
$${1 \over {2\sqrt 3 }} + {\pi \over 3}$$
B
$${1 \over {\sqrt 3 }} + {{2\pi } \over 3}$$
C
$${1 \over {2\sqrt 3 }} + {{2\pi } \over 3}$$
D
$${1 \over {\sqrt 3 }} + {{4\pi } \over 3}$$
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