1
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If the line ax + y = c, touches both the curves x2 + y2 = 1 and y2 = 4$$\sqrt 2 $$x , then |c| is equal to :
A
2
B
$$\sqrt 2 $$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over 2}$$
2
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the first quadrant is :
A
$${1 \over 2}$$
B
$${3 \over 2}$$
C
$${3 \over 2} - {1 \over {\log _e^2}}$$
D
$$\log _e^2 + {3 \over 2}$$
3
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The integral $$\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx$$ is equal to :
A
$${3^{{5 \over 3}}} - {3^{{1 \over 3}}}$$
B
$${3^{{5 \over 6}}} - {3^{{2 \over 3}}}$$
C
$${3^{{4 \over 3}}} - {3^{{1 \over 3}}}$$
D
$${3^{{7 \over 6}}} - {3^{{5 \over 6}}}$$
4
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars, then the total number of beams is :
A
180
B
210
C
170
D
190
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