1
JEE Main 2021 (Online) 31st August Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The line $$12x\cos \theta + 5y\sin \theta = 60$$ is tangent to which of the following curves?
A
x2 + y2 = 169
B
144x2 + 25y2 = 3600
C
25x2 + 12y2 = 3600
D
x2 + y2 = 60
2
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
Let [t] denote the greatest integer $$\le$$ t. Then the value of

$$8.\int\limits_{ - {1 \over 2}}^1 {([2x] + |x|)dx} $$ is ___________.
Your input ____
3
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
A point z moves in the complex plane such that $$\arg \left( {{{z - 2} \over {z + 2}}} \right) = {\pi \over 4}$$, then the minimum value of $${\left| {z - 9\sqrt 2 - 2i} \right|^2}$$ is equal to _______________.
Your input ____
4
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language
The square of the distance of the point of intersection

of the line $${{x - 1} \over 2} = {{y - 2} \over 3} = {{z + 1} \over 6}$$ and the plane $$2x - y + z = 6$$ from the point ($$-$$1, $$-$$1, 2) is __________.
Your input ____
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