1
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If   $$\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1 - {1 \over {\sqrt 2 }},\left( {k > 0} \right),$$ then value of k is :
A
4
B
$${1 \over 2}$$
C
1
D
2
2
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not returned to the urn. Now, a second ball is drawn at random from it. The probability that the second ball is red, is :
A
$${{21} \over {49}}$$
B
$${{27} \over {49}}$$
C
$${{26} \over {49}}$$
D
$${{32} \over {49}}$$
3
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If the circles

x2 + y2 $$-$$ 16x $$-$$ 20y + 164 = r2  

and  (x $$-$$ 4)2 + (y $$-$$ 7)2 = 36

intersect at two distinct points, then :
A
r > 11
B
0 < r < 1
C
r = 11
D
1 < r < 11
4
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is :
A
$${3 \over 2}$$
B
$$\sqrt 3 $$
C
2
D
$${2 \over {\sqrt 3 }}$$
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