1
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let C1 and C2 be the centres of the circles x2 + y2 – 2x – 2y – 2 = 0 and x2 + y2 – 6x – 6y + 14 = 0 respectively. If P and Q are the points of intersection of these circles, then the area (in sq. units) of the quadrilateral PC1QC2 is :
A
4
B
6
C
9
D
8
2
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
$$\mathop {\lim }\limits_{x \to \pi /4} {{{{\cot }^3}x - \tan x} \over {\cos \left( {x + {\pi \over 4}} \right)}}$$ is :
A
$$8\sqrt 2 $$
B
4
C
$$4\sqrt 2 $$
D
8
3
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A tetrahedron has vertices P(1, 2, 1), Q(2, 1, 3), R(–1, 1, 2) and O(0, 0, 0). The angle between the faces OPQ and PQR is :
A
cos$$-$$1$$\left( {{{17} \over {31}}} \right)$$
B
cos$$-$$1$$\left( {{{9} \over {35}}} \right)$$
C
cos$$-$$1$$\left( {{{19} \over {35}}} \right)$$
D
cos$$-$$1$$\left( {{7 \over {31}}} \right)$$
4
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The integral $$\int \, $$cos(loge x) dx is equal to : (where C is a constant of integration)
A
$${x \over 2}$$[sin(loge x) $$-$$ cos(loge x)] + C
B
x[cos(loge x) + sin(loge x)] + C
C
$${x \over 2}$$[cos(loge x) + sin(loge x)] + C
D
x[cos(loge x) $$-$$ sin(loge x)] + C
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